ST. PETERSBURG, Fla. -- Nyjer Morgan used his speed to get two key infield hits early in the game. His rare long ball provided an important late run.
"He always plays with energy," Indians manager Terry Francona said about Morgan. "We were looking for a way to get him in there today and I'm glad we did."
Morgan had an RBI infield single that rolled to a stop near the line between home and third before Bourn hit a two-run double as the Indians took a 3-1 lead in the second. Morgan also hit his first major-league home run since July 30, 2012, an eighth-inning solo shot that made it 6-2.
"I had to get something out of the infield today," a smiling Morgan said.
Tomlin (2-0), who pitched only once in the big leagues last season after right elbow surgery in 2012, allowed two runs and six hits over six innings in his second outing this year.
"The guys made the plays in the outfield and the infield, and that's the reason I won a game," Tomlin said.
Cleveland took two of three in the series after entering with a seven-game road skid.
"This is a tough place to play," Francona said. "Finding a way to beat them here is great. I've sat in this chair too many times and been miserable."
"I think very simply put, we're not playing the caliber of baseball right now that is a winning caliber of baseball," Rays third baseman Evan Longoria said.
A three-run eighth pulled the Rays to 6-5.
Ben Zobrist scored the first run in the inning when reliever Marc Rzepczynski made an errant throw to second on what could have been an inning-ending double play. Cody Allen allowed Wil Myers' RBI single and hit Desmond Jennings with a pitch to load the bases. Yunel Escobar hit a sacrifice fly.
"I had plenty of time. ... I rushed it," Rzepczynski said. "When I get those, I get super excited. Throw better sinkers to second than I do home sometimes."
Yan Gomes hit a leadoff homer that chased Archer during a two-run sixth that gave Cleveland a 5-2 advantage. Morgan reached on a bunt single off Brad Boxberger when a call was overturned on replay. Morgan advanced on a balk and wild pitch, then scored the inning's second run on Mike Aviles' sacrifice fly.
Joyce hit a first-inning solo homer off Tomlin. Joyce, who is 6 for 12 with two homers against the right-hander, had an RBI single in the fourth.
Santana went 2 for 3 with two walks and increased his batting average 12 points to .148. Brantley extended his hitting streak to 11 games with a third-inning single.
Francona tweaked his rotation for a three-game series at Toronto. RHP Danny Salazar (1-3) had his start pushed back to Thursday from Tuesday so that RHP Justin Masterson (2-1) and RHP Corey Kluber (3-3) can pitch Tuesday and Wednesday on normal rest. ... Tampa Bay RHP Jeremy Hellickson (arthroscopic right elbow surgery) hopes to resume throwing curveballs during bullpen sessions in a week. ... Indians 1B Nick Swisher was given the option by Francona to have a day off and took it. ... Rays LHP Cesar Ramos (1-1) and Mariners RHP Felix Hernandez (3-1) are Monday night's scheduled starters in Seattle. ... With the Rays' road trip theme being "Woodstock," manager Joe Maddon looked the part from the 1969 concert, wearing a long-hair wig, sun glasses and tie-dye shirt.