NEW YORK — This time, it was Masahiro Tanaka who was untouchable on the mound.

And when the New York Yankees sent Houston ace Dallas Keuchel to an early exit, their rollicking crowd let loose with a cathartic roar that must have boomed all over the Bronx.

One more big win, and these Yankees are World Series-bound.

Tanaka pitched seven innings of three-hit ball and New York finally solved a longtime nemesis at just the right moment, beating Keuchel and the Astros 5-0 on Wednesday for a 3-2 lead in the AL Championship Series.

“It’s a special feeling,” manager Joe Girardi said.

Gary Sanchez hit an RBI single off Keuchel and later homered to help the wild-card Yankees win for the third straight day at home, moving within one victory of their first pennant since 2009 and record 41st overall.

The teams head back to Houston for Game 6 on Friday night, when Justin Verlander and the reeling Astros will try to regain their footing following an off day and force a decisive Game 7. Luis Severino is scheduled to start for New York.

Just days ago, Houston was up two games to none and appeared to be closing in on its second World Series appearance. But the Astros, like defending AL champion Cleveland before them, have been unable to put away these poised Yankees, who improved to 6-0 at home in this postseason in front of their cheering, chanting fans.