| John Patterson Bryan Maxwell | |
| State: | New Jersey |
| Term Start: | March 4, 1841 |
| Term End: | March 3, 1843 |
| Predecessor: | Joseph Kille |
| Succeeded: | District inactive |
| State2: | New Jersey |
| Term Start2: | March 4, 1837 |
| Term End2: | March 3, 1839 |
| Predecessor2: | Thomas Lee |
| Successor2: | Joseph Kille |
| Birth Date: | 3 September 1804 |
| Birth Place: | Flemington, New Jersey, U.S. |
| Death Place: | Belvidere, New Jersey, U.S. |
| Resting Place: | Belvidere Cemetery, Belvidere, New Jersey, U.S. |
| Party: | Whig |
| Parents: | George C. Maxwell Rachel Bryan Maxwell |
| Relatives: | George M. Robeson (cousin) |
| Alma Mater: | Princeton College |
| Profession: | Politician, lawyer |
John Patterson Bryan Maxwell (September 3, 1804, Flemington, New Jersey – November 14, 1845, Belvidere, New Jersey) was an American lawyer and Whig Party politician who represented New Jersey in the United States House of Representatives from 1837 to 1839 and again from 1841 to 1843.
He was the son of George C. Maxwell and the first cousin of George M. Robeson, both of whom also served in the House of Representatives.
Maxwell was born on September 3, 1804, in Flemington, New Jersey. He graduated from Princeton College in 1823, studied law, was admitted to the bar in 1827 and commenced practice in Newark, New Jersey. He moved to Belvidere, New Jersey, and became editor of the Belvidere Apollo.
Maxwell was elected as a Whig to the Twenty-fifth Congress, serving from March 4, 1837 – March 3, 1839. He presented credentials as a Member-elect to the Twenty-sixth Congress, but the House declined to seat him. He was elected to the Twenty-seventh Congress, in office from March 4, 1841 – March 3, 1843. He was a trustee of Princeton College from 1842 to 1845.
Maxwell died in Belvidere on November 14, 1845, and was interred there in Belvidere Cemetery.