The Rays were down to their last out when Lowe laced his decisive double off Scott McGough (0-6)
Trailing by two runs entering the ninth inning, the Rays mounted their comeback. Yandy Diaz singled to center for his third hit of the game, Wander Franco reached on an infield single and Luke Raley ripped an RBI single to right
McGough struck out Randy Arozarena and retired Isaac Paredes on a sharp line drive to Ketel Marte at second base.
But Lowe's two-base hit to the left-center-field gap was the difference.
Pete Fairbanks worked around a one-out walk to Geraldo Perdomo for his ninth save. Colin Poche (6-2) tossed a scoreless eighth inning for the win.
The interleague series between first-place teams concludes with the rubber game on Thursday afternoon.
Until the Rays rallied, Diamondbacks right-hander Kyle Davies was the star, tossing seven shutout innings of two-hit ball. In his three previous starts, the right-hander allowed 18 earned runs in 10 2/3 innings
Davies gave up a double to Diaz to open the game but didn't allow another hit until Diaz's single in the sixth.
Tampa Bay right-hander Zach Eflin also turned in a seven-inning performance, giving up two runs on seven hits with seven strikeouts.
Eflin retired the first eight batters he faced before the D-backs strung together three-straight, two-out singles to take a 1-0 lead in the third.
Alek Thomas got things rolling for Arizona in the third with a single to center, then raced to third on Jake McCarthy's single to right. Marte's RBI single put Arizona on the board.
Arizona took a 2-0 lead in the fourth as Christian Walker doubled and scored on Carson Kelly's two-out RBI single.
Walker extended his career-best hit streak to 12 games.
--Field Level Media