A 19-year-old man and a 56-year-old woman were shot during a dispute in The Bronx Monday night, authorities said.

The incident took place inside 2802 ­Olinville Ave. in Allerton at around 8:40 p.m., cops said.

The man, who suffered a gunshot wound to the right leg, and the woman, who was shot in the right hip, were rushed to Jacobi Hospital, where each was listed in serious but stable condition.

It’s unclear if the two shot each other or if a third party was involved.

Their relationship was unknown.