Suzuki got the milestone hit against the Toronto's R.A. Dickey in his first at-bat at Yankee Stadium, sending a grounder past Blue Jays third baseman Brett Lawrie into left field.
Suzuki, 39, recorded his first 1,278 hits in his native Japan from 1992-2000 before coming to the Seattle Mariners, where he racked up 10 straight seasons of collecting 200 or more hits.
The 10-time all-star was traded to the Yankees July 23, 2012.
Suzuki set the major league record for most hits in a season with 262 in 2004, breaking a mark that had been held by George Sisler since 1920.
Of his 2,722 major-league hits, 2,228 have been singles.