Britain's Murray and Switzerland's Hingis won 6-4 6-4 in one hour four minutes on Centre Court.
Both Murray and Hingis are bidding for their second Wimbledon mixed doubles titles.
The Scot won in 2007 alongside Serbia's Jelena Jankovic while Hingis won in 2015 with Indian Leander Paes.
The pair only announced their partnership last week and again looked comfortable as a partnership on the court.
Hingis has won five mixed doubles titles at Grand Slams as well as 12 women's doubles and five singles competitions - including Wimbledon in 1997.
Murray won men's doubles titles at the Australian Open and US Open last year with Brazil's Bruno Soares.