The team later said he suffered a bone bruise on the knuckles of the first and second fingers. He is day-to-day.
X-rays taken were "precautionary," according to manager John Gibbons, and revealed no abnormalities.
Tulowitzki was hit near the knuckle by a fastball thrown by Mets starter Bartolo Colon. He immediately tossed his bat and headed for the dugout, but then walked slowly to first base, where he was replaced by a pinch runner. He left the field with the training staff.
Tulowitzki has been having an excellent spring, leading the team in home runs (four) and RBIs (10).
This is his first spring training with the Blue Jays, following his July 2015 trade to Toronto by the Colorado Rockies.