<?xml version="1.0" encoding="utf-8"?>
<!--XBRL document created with Toppan Merrill Bridge  10.5.0.8 -->
<!--Based on XBRL 2.1-->
<!--Created on: 4/5/2024 4:38:44 PM-->
<!--Modified on: 4/5/2024 4:38:44 PM-->
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    <loc xlink:type="locator" xlink:href="bmrc-20240514.xsd#bmrc_PensionValueInCompensationTableForApplicableYearMember" xlink:label="bmrc_PensionValueInCompensationTableForApplicableYearMember" xmlns="http://www.xbrl.org/2003/linkbase" />
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    <loc xlink:type="locator" xlink:href="bmrc-20240514.xsd#bmrc_EquityAwardsAdjustmentsYearEndFairValueOfAwardsGrantedInCurrentYearMember" xlink:label="bmrc_EquityAwardsAdjustmentsYearEndFairValueOfAwardsGrantedInCurrentYearMember" xmlns="http://www.xbrl.org/2003/linkbase" />
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="bmrc_EquityAwardsAdjustmentsYearEndFairValueOfAwardsGrantedInCurrentYearMember_lbl" xml:lang="en-US" xmlns="http://www.xbrl.org/2003/linkbase">This member presents the equity awards adjustments on the year-end fair value of any equity awards granted in the applicable year that are outstanding and unvested as of the end of the year.</label>
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    <label xlink:type="resource" xlink:role="http://www.xbrl.org/2003/role/documentation" xlink:label="bmrc_EquityAwardsAdjustmentsDividendsOrOtherEarningsPaidOnEquityAwardsNotOtherwiseReflectedInFairValueMember_lbl" xml:lang="en-US" xmlns="http://www.xbrl.org/2003/linkbase">This member presents the equity awards adjustments on dividends or other earnings paid on equity awards not otherwise reflected in fair value.</label>
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