| Elisha Hume Brewster | |
| Office: | Senior Judge of the United States District Court for the District of Massachusetts |
| Term Start: | October 14, 1941 |
| Term End: | April 29, 1946 |
| Office1: | Judge of the United States District Court for the District of Massachusetts |
| Term Start1: | September 22, 1922 |
| Term End1: | October 14, 1941 |
| Appointer1: | Warren G. Harding |
| Predecessor1: | Seat established by 42 Stat. 837 |
| Successor1: | Arthur Daniel Healey |
| Birth Name: | Elisha Hume Brewster |
| Birth Date: | 10 September 1871 |
| Birth Place: | Worthington, Massachusetts |
| Death Place: | Springfield, Massachusetts |
| Education: | Boston University School of Law (LL.B.) |
Elisha Hume Brewster (September 10, 1871 – April 29, 1946) was a United States district judge of the United States District Court for the District of Massachusetts.
Born in Worthington, Massachusetts, Brewster received a Bachelor of Laws from Boston University School of Law in 1896. He was private practice from 1896 to 1922, and was a member of the Massachusetts House of Representatives from 1902 to 1904.
On September 20, 1922, Brewster was nominated by President Warren G. Harding to a new seat on the United States District Court for the District of Massachusetts created by 42 Stat. 837. He was confirmed by the United States Senate on September 22, 1922, and received his commission the same day. He assumed senior status on October 14, 1941, serving in that capacity until his death on April 29, 1946, in Springfield, Massachusetts.