The team recalled infielder Danny Muno from Triple-A Las Vegas on Friday to fill the roster spot.
Murphy had just been shifted from second base to third to fill in for captain David Wright, sidelined indefinitely with spinal stenosis. New York, which began the day atop the NL East, also is missing catcher Travis d'Arnaud (broken pinkie) and second-string second baseman Dilson Herrera (broken finger).
Murphy, an All-Star last season and one of the top hitters in a struggling lineup, felt tightness in the quadriceps while running to first base Thursday night against Arizona. He was placed on the disabled list Friday after an MRI.
He became the 14th Mets player to go on the DL this season. Manager Terry Collins said Murphy's injury is ''not real serious.''
Murphy is batting .283 with two home runs and a team-high 29 RBIs. He had played in all 55 games this season.
Eric Campbell started at third base Friday night.