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1.
A domestic partnership is a legal or personal relationship between two individuals who live together and share a common domestic life but are are unable or choose not to be joined by marriage or civil union. May be same-sex or opposite-sex partners.
Lynn and Sue have a common partner, Tom. They are a polyamorous family who share a home. While Sue and Tom are legally married, Lynn and Tom have a domestic relationship.
by Polly Amory October 23, 2011
 
2.
When two or more people of the same gender live together and practice a homosexual lifestyle.
Ellen DeGeneres and Portia de Rossi are in a domestic relationship.

My English teacher lives with her two sons and life partner in a domestic relationship
by 16iKnow16 February 26, 2011