The Zen Master already is having his effect and he hasn’t even started the job.

Phil Jackson will inherit a Knicks team that has won a season-high six games when he takes the mantle of team president at Tuesday’s press conference at the Garden.

The latest being a 115-94 matinee rout of the Bucks at the Garden on Saturday.

Actually, the Knicks recent creampuff schedule is the major cause, not any Zen vibes floating in the MSG air. In their last game pre-Jackson, the Knicks hammered the lowly Bucks at the Garden to break their 0-7 schneid in early matinee games this season.

In any event, the Jackson hiring does come at a strange time, but timing is not owner James Dolan’s strong suit.

The Knicks (26-40) received a terrific marksmanship from their trio of shooting guards and Carmelo Anthony racked up a solid 23 points (8-of-16, 6-of-6 free throws) with seven rebounds. Rookie Tim Hardaway Jr. dazzled with 20 points (8-of-12), J.R. Smith added 15 points and Iman Shumpert 14. Amar’e Stoudemire also added 15 points six rebounds and a vicious swat.

Smith, Shumpert and Hardaway combined to shoot 18-of-31.

The Knicks moved to three games behind the eighth-seeded Hawks, who play tonight vs. Denver. They have won by double digits in all six victories, but only the Timberwolves have a .500 or better record among their victims.

Center Tyson Chandler made his return from a two-game absence due to a family illness back in California and played 25 minutes to anchor the defense but was low impact offensively with two points.

The Knicks won the season series over the Bucks, 3-1.

The Knicks punished the Bucks in the first half as Anthony scored 14 points, Hardaway added 11 and J.R. Smith pumped him 12 as they took a 60-42 lead. The Knicks made 5 of 12 3-pointers and shot 56.4 percent. The Bucks moved to a league-worse 13-53.

On one fastbreak hookup early in the second quarter, Shumpert darted downcourt and lofted a perfect alley-oop pass to Hardaway, who on the dead run slammed it home. Hardaway put a fake phone receiver to his ear to commemorate the play as the Garden erupted, forcing the Bucks into a timeout as the Knicks went up 12 points.

Hardaway connected on five of seven shots in the first half. He scored on a blow-by drive two minutes later and followed that up with a 3-pointer.