Professional women’s basketball’s best known lesbian couple – engaged since last August — has been arrested for fighting … each other.

The pair, Phoenix Mercury center Brittney Griner and Tulsa Shock forward Glory Johnson, were arrested and booked in Arizona on Wednesday and charged with assault and disorderly conduct.

Cops responding to a domestic abuse case wrote in a report that the women sustained only with minor injuries – before arresting them.

The pro women’s league is the WNBA.