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Common Stock, Stock Options and Warrants (Details) - USD ($)
1 Months Ended 6 Months Ended 9 Months Ended
Jun. 10, 2021
Feb. 12, 2021
Nov. 05, 2020
Oct. 06, 2020
Sep. 08, 2020
Aug. 10, 2020
Apr. 06, 2020
Feb. 10, 2020
Nov. 04, 2019
Feb. 19, 2021
Feb. 16, 2021
Jan. 27, 2021
May 18, 2020
Mar. 31, 2021
Mar. 31, 2020
Jun. 30, 2021
Jun. 30, 2020
Jun. 21, 2021
May 24, 2021
Apr. 05, 2021
Sep. 30, 2020
Feb. 07, 2018
Common Stock, Stock Options and Warrants (Details) [Line Items]                                            
Common shares authorized                               400,000,000         400,000,000  
Proceeds from common stock warrant exercises (in Dollars)                               $ 31,130,134 $ 7,156,549          
Common stock offerings, description                   the Company closed a registered direct offering for 50,830,566 common shares and warrants to purchase up to 25,415,283 common shares, at a purchase price of $1.505 per share of common stock and accompanying warrant, for gross proceeds of $76,500,002. The 25,415,283 warrants are immediately exercisable at $1.70 per common share for a term of five years. The Company paid the placement agent a fee of 7% of the gross proceeds totaling $5,355,000 and issued the placement agent 3,558,140 immediately exercisable warrants at $1.881 per common share for a term of five years. The Company also reimbursed the placement agent for $85,000 in expenses and incurred $80,160 in other expenses. Net proceeds from the offering were $70,979,842. The estimated fair value of the 25,415,283 warrants issued to the investors was approximately $42,322,000 and the estimated fair value of the 3,558,140 warrants issued to the placement agent was approximately $5,850,000.   the Company closed a private placement for 15,455,960 common shares and warrants to purchase 7,727,980 common shares, at a purchase price of $1.294 per common share and accompanying warrant, for gross proceeds of $20,000,012. The 7,727,980 warrants are immediately exercisable at $1.231 per common share for a term of five and one-half years. The Company paid the placement agent a fee of 7% of the gross proceeds totaling $1,400,001 and issued the placement agent 1,081,917 immediately exercisable warrants at $1.6175 per common share for a term of five and one-half years. The Company also reimbursed the placement agent for $85,000 in expenses and incurred $64,601 in other expenses. Net proceeds from the offering were $18,450,410. The estimated fair value of the 7,727,980 warrants issued to the investors was approximately $7,582,000 and the estimated fair value of the 1,081,917 warrants issued to the placement agent was approximately $1,025,000.                    
Remaining shares                               1,240,000            
Common shares reserved     2,000,000                               8,740,000      
Option to purchase share outstanding                               110,000            
Shares available for future grants                               8,630,000            
Weighted average period                               1 year 10 months 24 days            
Stock-based compensation expense description                               Stock-based compensation expense for the three months ended June 30, 2021 and 2020 was $373,570 (including $18,833 for the NoveCite Stock Plan) and $175,011, respectively.            
Stock-based compensation expense description (in Dollars)                             $ 554,228 $ 993,114 $ 993,114          
Citius stock plans (in Dollars)                               $ 1,550,712            
Common shares outstanding                               1,130,000            
Option shares available future grants                               870,000            
Stock option purchase grants     1,130,000                                      
Weighted average exercise price (in Dollars per share)     $ 0.24                                      
Weighted average remaining period     9 years 4 months 24 days                                      
Extended term                                       3 years    
Warrants for common stock                               145,979,429       1,294,498 55,576,996  
Common stock exercise price per share (in Dollars per share)                                       $ 1.42    
Warrants shares                                       240,130    
Warrants exercise price per share (in Dollars per share)                                       $ 1.93    
Fair value of deemed dividend (in Dollars)                               $ 1,450,876            
Registered Direct And Private Placement Offering [Member] | Investor [Member]                                            
Common Stock, Stock Options and Warrants (Details) [Line Items]                                            
Sale of common stock           9,159,524             7,058,824                  
Warrants sold and issued to investors (in Dollars)           $ 569,426             $ 2,138,998                  
Other cash expenses related to placement (in Dollars)           135,000             85,000                  
Other expenses (in Dollars)           $ 109,074             12,901                  
Proceeds from common stock warrant exercises (in Dollars)                         $ 6,877,100                  
Warrants issued           641,166             494,118                  
Registered Direct And Private Placement Offering [Member] | Placement Agent [Member]                                            
Common Stock, Stock Options and Warrants (Details) [Line Items]                                            
Sale of common stock           8,700,201             3,529,412                  
Sale of shares price (in Dollars per share)           $ 1.05             $ 1.0625                  
Warrants sold and issued to investors (in Dollars)           $ 9,617,500             $ 275,724                  
Description of warrants           The Company paid the underwriter a fee of 7% of the gross proceeds totaling $673,225 and issued the underwriters 641,166 immediately exercisable warrants with an exercise price of $1.3125 per common share and a term of five years.             The Company paid the placement agent a fee of 7% of the gross proceeds totaling $525,000 and issued the placement agent 494,118 immediately exercisable warrants with an exercise price of $1.3281 per common share and a term of five years.                  
Registered Direct And Private Placement Offering [Member] | Accredited Investors [Member]                                            
Common Stock, Stock Options and Warrants (Details) [Line Items]                                            
Sale of shares price (in Dollars per share)                         $ 1.00                  
Warrants sold and issued to investors (in Dollars)                         $ 7,500,001                  
Stock Options [Member]                                            
Common Stock, Stock Options and Warrants (Details) [Line Items]                                            
Common stock, shares issued                               866,667            
Warrants to purchase common stock                               855,171            
Financial advisor warrants were exercised                               4,829            
Options to purchase shares expired                           6,667                
Common shares reserved               3,110,000                            
Option to purchase share outstanding                               1,870,000            
Weighted average period                               10 years            
Aggregate intrinsic value for the warrants outstanding (in Dollars)                               $ 2,652,917         $ 440,336  
Omnibus Stock Incentive Plan [Member]                                            
Common Stock, Stock Options and Warrants (Details) [Line Items]                                            
Common stock, shares issued                                           2,000,000
Financial advisor warrants were exercised                               70,000            
Number of common stock shares                               1,820,000            
Remaining shares                               110,000            
NoveCite Stock Plan [Member]                                            
Common Stock, Stock Options and Warrants (Details) [Line Items]                                            
Stock-based compensation expense description (in Dollars)                               $ 50,222            
Weighted average remaining period     2 years 3 months 18 days                                      
Unrecognized total compensation cost related to unvested awards (in Dollars)     $ 175,778                                      
Minimum [Member]                                            
Common Stock, Stock Options and Warrants (Details) [Line Items]                                            
Shares of capital stock authorized                                   210,000,000        
Common shares authorized                                   200,000,000        
Maximum [Member]                                            
Common Stock, Stock Options and Warrants (Details) [Line Items]                                            
Shares of capital stock authorized                                   410,000,000        
Common shares authorized                                   400,000,000        
Warrants [Member]                                            
Common Stock, Stock Options and Warrants (Details) [Line Items]                                            
Weighted average remaining life of the outstanding warrants                               4 years            
Aggregate intrinsic value for the warrants outstanding (in Dollars)                               $ 74,179,624            
Warrants [Member] | Registered Direct And Private Placement Offering [Member] | Placement Agent [Member]                                            
Common Stock, Stock Options and Warrants (Details) [Line Items]                                            
Sale of common stock                         3,529,412                  
Common Stock [Member]                                            
Common Stock, Stock Options and Warrants (Details) [Line Items]                                            
Common stock issued for services   50,000     101,174   50,000 150,000 186,566                          
Common stock issued for services fair value (in Dollars)   $ 68,000     $ 100,000   $ 22,750 $ 306,020 $ 100,000                          
Common stock, shares issued               136,000                            
Board of Directors [Member]                                            
Common Stock, Stock Options and Warrants (Details) [Line Items]                                            
Total Purchase       800,000             125,000                      
Shares of employees       175,000                                    
Directors shares       125,000                                    
Consultants at per share (in Dollars per share)       $ 1.01                                    
Directors per shares (in Dollars per share)                     $ 1.69                      
Purchase shares to employees 100,000                                          
Consultant shares 10,000                                          
Consultant per share (in Dollars per share) $ 2.50                                          
Options vest over terms, description                               All of these options vest over terms of 12 to 36 months and have a term of 10 years.