Making his first lifetime appearance against the Phillies, Kinney (8-9) allowed nine hits and two walks with a career-high eight strikeouts. He improved to 4-1 against the National League East Division with just his second victory since June 27.
After Geoff Jenkins gave Kinney all the support he needed with a two-run double in the third, Clark hit a three-run blast later in the inning for a 5-0 lead. Sexson increased the advantage in the fifth with a two-run shot, his 34th of the season.
Phillies starter Randy Wolf (12-8) was ineffective, surrendering seven runs and seven hits in 4 1/3 innings. The All-Star left-hander, who was handed his third loss in four starts, walked four and struck out three.
Placido Polanco spoiled Milwaukee's shutout bid, plating a run with a groundout in the ninth against Brooks Kieschnick.
The Phillies threatened with two outs in the second, when Chase Utley doubled and Pat Burrell and Jimmy Rollins drew walks to load the bases. But Kinney got Wolf to ground out to second to escape unscathed.
Milwaukee jumped on Wolf in the third. Royce Clayton led off with a single and moved to second on a sacrifice. After a flyout by Scott Podsednik, Bill Hall walked and Jenkins doubled to right-center for a 2-0 lead. Sexson worked a 1-2 count into a walk before Clark belted a 1-1 offering over the left field wall for his third homer. Jenkins opened the fifth with an infield single before Sexson deposited an 0-2 pitch to straightaway center for a 7-0 cushion. The Brewers put away the game in the sixth. Clayton drew a leadoff walk from Carlos Silva and Kinney singled. Podsednik's base hit plated Clayton and after a double play, Jenkins drove in Kinney with a single. Clayton capped the scoring for the Brewers with an RBI single in the seventh.
The series wraps up with an afternoon game Thursday. Vicente Padilla (11-8, 3.85) goes against Doug Davis (0-0, 3.00) as the Phils look to avoid a sweep.