Greengrass is a surname. Notable people with the surname include:
Jim Greengrass (born 1927), former professional baseball player
Paul Greengrass (born 1955), English film director, screenwriter and former journalist
Fictional characters:
Astoria Greengrass, character from J. K. Rowling's Harry Potter series
Barney Greengrass, restaurant on the Upper West Side of Manhattan
Claude Greengrass character from the British period police drama Heartbeat