The 33-year-old singer and 29-year-old actor attended the annual awards show Sunday at the MGM Grand Garden Arena in Las Vegas.
Simpson and Ross wore coordinating ensembles, with the singer in a nude-colored dress with a black floral design and Ross in pants and an embellished sweater. The pair cozied up as they posed for photos.
Simpson and Ross discussed their new E! reality series on the red carpet, telling E! News the show will document their musical collaboration and life with their family.
"We were making music and we decided that we wanted to document it," Simpson said.
"You're going to see us working on our album. You're going to see us on our everyday stuff and just living life," Ross added.
Simpson, the sister of singer Jessica Simpson, and Ross, the son of singer Diana Ross, married in August 2014. Simpson is mother to 2-year-old daughter Jagger Snow with Ross and to 9-year-old son Bronx Mowgli with ex-husband Pete Wentz.