"He told us in the fifth inning that he was going to finish," Texas manager Ron Washington said. "He had a good cutter working. Tight slider. Moving his fastball around. He was in control."
The Rangers have 18 shutouts this season, one more than the previous team record set in 1977.
"Wow ... It's awesome," Washington said.
Wilson (15-6) matched his career high in wins from last year and became the first Texas left-hander to record 15 or more wins in consecutive seasons. He threw 117 pitches in his third complete game of the year.
"I had enough pitches going," said Wilson, who struck out six and walked three. "I was just mixing well."
Tampa Bay right-hander Jeff Niemann (9-7) gave up seven runs and nine hits in 4 2/3 innings. He has lost three of his last four starts.
Kinsler tied his own team record, set in 2009, with his seventh leadoff homer this season in the first. He has 26 homers this year, including five in his last six games.
Murphy started the second with his ninth homer, then hit a two-run double during Texas' three-run third that made it 5-0. Josh Hamilton also had an RBI double in the third.
Hamilton tweaked his back during the game, but still played eight innings.
"No worries," Washington said.
Murphy finished with four hits and came within a triple of hitting for the cycle.
Beltre hit a sacrifice fly and Murphy had a run-scoring double to make it 7-0 in the fifth. Mike Napoli added a run-scoring double in the eighth.
Wilson was working on a perfect game in last Thursday's 7-2 win over the Rays when Casey Kotchman's infield hit went off the pitcher's left index finger in the sixth. Wilson departed after the inning.
"It's not 100 percent," Wilson said. "I think that's why earlier in the game I had a little bit of trouble with the control. But it's getting there."
Kotchman got Tampa Bay's first hit Tuesday when he flared an opposite-field single to left with one out in the second. Wilson induced an inning-ending double play from Kotchman with two on in the fourth.
Wilson is 3-0 in four career starts against Tampa Bay. He also threw 6 1/3 innings in Texas' 6-0 win over the Rays in Game 2 of the 2010 AL division series.
"He did everything the same," Tampa Bay manager Joe Maddon said. "He was very good. He does not miss against us. He's just on the top of his game whenever he sees us in the batter's box."
Tampa Bay catcher Jose Lobaton left with a sore left knee and is not expected to play Wednesday.
Texas OF Nelson Cruz (strained left hamstring) is taking batting practice and will ramp up his running program this weekend. ... Tampa Bay DH Johnny Damon (sore right leg) was out of the lineup for the second straight game. ... Rays 3B Evan Longoria was the designated hitter for the third time this season. ... Rangers RHP Alexi Ogando (12-7), skipped one time in the rotation, is scheduled to start Saturday against Oakland. ... Texas RHP Tim Wood cleared waivers and was assigned to Triple-A Round Rock. ... Tampa Bay LHP David Price (12-12) and Texas LHP Derek Holland (13-5) are the scheduled starters Wednesday. ... Texas announced that former Rangers minor league player and coach Dave Moharter died Tuesday. He was 62.