Closer Aroldis Chapman fired his 100 mph heat over and over, preserving a 3-2 win Sunday night that cut Cleveland's Series lead to 3-2 Sunday night.
Kluber pitched six sparkling innings on short rest for another win, Jason Kipnis hit a three-run homer in his hometown and the Indians beat the Chicago Cubs 7-2 Saturday night to take a 3-1 lead.
Allen escaped a ninth-inning jam and the Indians set a major league record with their fifth shutout this postseason, holding off the Cubs 1-0 Friday night for a 2-1 lead in the World Series.
The Chicago Cubs brushed off a Game 1 shutout to even the World Series with their first Fall Classic win in 71 years, 5-1 over the Cleveland Indians, in Game 2 on Wednesday night.
Kluber dominated into the seventh inning, Roberto Perez had four RBI with a pair of home runs and the Indians beat the Cubs 6-0 in Tuesday night's opener.
Miami Marlins ace Jose Fernandez was killed in a boating accident in Florida early Sunday morning.
"Just very disappointing," Story said. "Very frustrating. The timing of it all is the worst part of it."
The American League beat the National League 4-2 for its fourth straight win in the Midsummer Classic.