The 35-year-old right-hander, a two-time American League Cy Young Award winner with the Cleveland Indians, came within a third-inning walk to Charlie Culberson of throwing a perfect game.
Kluber pitched his gem a night after Detroit Tigers right-hander Spencer Turnbull threw one against the Seattle Mariners, marking the first no-hitters on consecutive days since 1969.
Kluber (4-2) struck out 10 and and threw 71 of 101 pitches for strikes in his ninth start for the Yankees. He was pitching on the same mound where he was hurt after one inning last season for the Rangers.
Right fielder Tyler Wade made a running catch of pinch hitter David Dahl’s fly ball for the second out in the ninth before Willie Calhoun’s game-ending groundout to second baseman DJ LeMahieu.