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Common Stock, Stock Options and Warrants (Details) - USD ($)
 3 Months Ended
Nov. 15, 2024
Nov. 07, 2024
Sep. 30, 2024
Oct. 10, 2023
Dec. 31, 2024
Dec. 31, 2023
Aug. 02, 2024
Apr. 29, 2023
Nov. 05, 2020
Common Stock, Stock Options and Warrants [Line Items]                  
Common stock authorized     16,000,000   16,000,000        
Bid price per share (in Dollars per share)         $ 1        
Fair value of common stock issued (in Dollars)           $ 76,146      
Shares of common stock         3,458,937        
Exercise price of warrants (in Dollars per share)         $ 3.91        
Options outstanding     656,084   841,084        
Options shares were exercised                
Options to purchase shares forfeited                
Option granted shares         185,000        
Weighted average grant date fair value of options granted (in Dollars per share)         $ 7.15        
Term of options outstanding     7 years 3 months 3 days   7 years 7 months 17 days        
Exercisable option vested period         36 months        
Vested option term         6 years 6 months 25 days        
Stock-based compensation expense (in Dollars)         $ 2,524,824 3,058,185      
Warrants [Member]                  
Common Stock, Stock Options and Warrants [Line Items]                  
Shares of common stock         3,458,937        
Exercise price of warrants (in Dollars per share)         $ 7.8125        
Expire term         2 years 11 months 15 days        
Common Stock Offerings [Member]                  
Common Stock, Stock Options and Warrants [Line Items]                  
Shares of common stock         33,600        
Exercise price of warrants (in Dollars per share) $ 6.25                
Stock Option [Member]                  
Common Stock, Stock Options and Warrants [Line Items]                  
Contractual term for vesting period         10 years        
Term of options outstanding         10 years        
Unrecognized total compensation (in Dollars)         $ 3,285,139        
Maximum [Member]                  
Common Stock, Stock Options and Warrants [Line Items]                  
Common stock authorized         400,000,000        
Term of options outstanding         36 months        
Minimum [Member]                  
Common Stock, Stock Options and Warrants [Line Items]                  
Common stock authorized         16,000,000        
Term of options outstanding         12 months        
2014 Stock Incentive Plan [Member]                  
Common Stock, Stock Options and Warrants [Line Items]                  
Common shares reserved         34,667        
Options outstanding         18,484        
Options shares were exercised         2,318        
Options to purchase shares forfeited         13,865        
2018 Omnibus Stock Incentive Plan [Member]                  
Common Stock, Stock Options and Warrants [Line Items]                  
Common shares reserved         80,000        
Options outstanding         67,200        
Options shares were exercised         4,667        
Options to purchase shares forfeited         3,733        
2020 Omnibus Stock Incentive Plan [Member]                  
Common Stock, Stock Options and Warrants [Line Items]                  
Options outstanding         4,400        
2020 Plan [Member]                  
Common Stock, Stock Options and Warrants [Line Items]                  
Common shares reserved         124,400        
Options outstanding         66,000        
Options to purchase shares forfeited         18,200        
2021 Omnibus Stock Incentive Plan [Member]                  
Common Stock, Stock Options and Warrants [Line Items]                  
Options outstanding         1,400        
2021 Stock Plan [Member]                  
Common Stock, Stock Options and Warrants [Line Items]                  
Common shares reserved         349,600        
Options outstanding         330,000        
Options to purchase shares forfeited         18,200        
2023 Omnibus Stock Incentive Plan [Member]                  
Common Stock, Stock Options and Warrants [Line Items]                  
Options outstanding         1,400        
2023 Stock Plan [Member]                  
Common Stock, Stock Options and Warrants [Line Items]                  
Common shares reserved         481,400        
Options outstanding         359,400        
Options to purchase shares forfeited         4,000        
Option granted shares         118,000        
Employees Stock [Member]                  
Common Stock, Stock Options and Warrants [Line Items]                  
Option granted shares   158,000              
Directors Stock Plan [Member]                  
Common Stock, Stock Options and Warrants [Line Items]                  
Option granted shares   25,000              
Consultant Stock Plan [Member]                  
Common Stock, Stock Options and Warrants [Line Items]                  
Option granted shares   2,000              
Consultant per share (in Dollars per share)   $ 9.5              
Citius Oncology plan [Member]                  
Common Stock, Stock Options and Warrants [Line Items]                  
Common shares reserved               15,000,000  
Contractual term for vesting period         10 years        
Term of options outstanding         10 years        
Unrecognized total compensation (in Dollars)         $ 14,393,428        
Recognized over a weighted average period         1 year 10 months 13 days        
Price per share (in Dollars per share)         $ 0.8        
Stock-based compensation expense (in Dollars)         $ 1,808,479 1,917,000      
Citius Oncology plan [Member] | Stock Option [Member]                  
Common Stock, Stock Options and Warrants [Line Items]                  
Recognized over a weighted average period         1 year 9 months 14 days        
Citius Oncology plan [Member] | Maximum [Member]                  
Common Stock, Stock Options and Warrants [Line Items]                  
Vesting period         36 months        
Citius Oncology plan [Member] | Minimum [Member]                  
Common Stock, Stock Options and Warrants [Line Items]                  
Vesting period         12 months        
NoveCite plan [Member]                  
Common Stock, Stock Options and Warrants [Line Items]                  
Exercise price of warrants (in Dollars per share)         $ 0.24        
Common shares reserved                 2,000,000
Options outstanding         1,911,500        
Term of options outstanding         6 years 1 month 20 days        
Available for future grants         88,500        
Vested option term         10 years        
Stock-based compensation expense (in Dollars)         $ 0 $ 19,858      
2024 Omnibus Stock Incentive Plan [Member]                  
Common Stock, Stock Options and Warrants [Line Items]                  
Common shares reserved             15,000,000    
Common Stock [Member]                  
Common Stock, Stock Options and Warrants [Line Items]                  
Common stock shares issued       4,351          
Common Stock [Member] | Investor [Member]                  
Common Stock, Stock Options and Warrants [Line Items]                  
Fair value of common stock issued (in Dollars)       $ 76,146          
Common Stock Offerings [Member]                  
Common Stock, Stock Options and Warrants [Line Items]                  
Direct offering shares 480,000                
Shares of common stock 480,000                
Gross proceeds (in Dollars) $ 3,000,000                
Net proceeds (in Dollars) $ 2,574,051                
Maturity date         Nov. 15, 2029        
Warrants issued (in Dollars)         $ 104,000        
Gross proceeds percentage         7.00%        
Common Stock Offerings [Member] | Warrants [Member]                  
Common Stock, Stock Options and Warrants [Line Items]                  
Offering price (in Dollars per share) $ 6.25                
Common Stock Offerings [Member] | Investor [Member]                  
Common Stock, Stock Options and Warrants [Line Items]                  
Maturity date Nov. 19, 2029                
Warrants issued (in Dollars) $ 1,575,000