Indiana State Police said the crash happened at the exit ramp to State Road 2 at mile marker 240.
The blue 2013 Chevy Cruze was heading northbound around 7 a.m. when it went off the road, crashed into a tree and caught fire.
Witnesses were able to pull the driver out, but could not help the passenger before the car was fully engulfed in flames.
The driver, passenger, and dogs were all dead at the scene.
The identities of the victims is being withheld until the families are notified.