| Document and Entity Information | Oct. 17, 2024 |
| Cover [Abstract] | |
| Document Type | 8-K |
| Amendment Flag | false |
| Document Period End Date | Oct. 17, 2024 |
| Entity File Number | 333-280165 |
| Entity Registrant Name | Monroe Federal Bancorp, Inc. |
| Entity Central Index Key | 0002024899 |
| Entity Incorporation, State or Country Code | MD |
| Entity Tax Identification Number | 99-3587922 |
| Entity Address, Address Line One | 24 East Main Street |
| Entity Address, City or Town | Tipp City |
| Entity Address, State or Province | OH |
| Entity Address, Postal Zip Code | 45371 |
| City Area Code | 937 |
| Local Phone Number | 667-8461 |
| Entity Emerging Growth Company | true |
| Entity Ex Transition Period | false |
| Written Communications | false |
| Soliciting Material | false |
| Pre-commencement Tender Offer | false |
| Pre-commencement Issuer Tender Offer | false |
| Title of 12(g) Security | stock |
| Trading Symbol | none |
