Haren (8-8) turned in his second straight strong start since returning from the disabled list, taming the Rays on one run over six innings.
The right-hander issued one walk and struck out six for the Angels, who won for the fourth time in six contests and took the opener of a three-game set.
Rays starter Alex Cobb (4-8) absorbed the defeat, allowing three runs on eight hits in a seven-inning effort.
Jeff Keppinger had three hits, including a solo homer, for Tampa Bay.
Boston schools pull out free condoms over wrapping complaints
Millions of Getty images now available for free via embed tool