rihanna050112_03_X17crop230.jpgThe two LAPD officers accused of leaking the photo of a battered Rihanna have been cleared of criminal charges.

The LA District Attorney has dismissed the case due to lack of evidence that the cops were paid by TMZ ... the gossip site that published the photo.

The photo was posted in 2009 shortly after Chris Brown punched his then-girlfriend in the front seat of their rented Lamborghini.

Both female cops, who have been identified as 28-year-old Blanca Lopez and 39-year-old Rebecca Reyes, were paid a reported $62,000, however searches of their bank accounts showed no evidence of payment.