The men also won their team pursuit race making it a successful first evening for the British riders.
Laura Trott, Joanna Rowsell and Dani King made up the trio that won in London with Elinor Barker replacing Rowsell for the World Championships in Minsk.
With the team now made up of four riders - rather than three as was the case in the Olympics and World Championships - Trott, Rowsell and Barker were joined by Katie Archibald in the final after King had participated in qualifying.
The quartet faced Poland in the event which has been increased from three to four kilometres and ultimately were clear winners in 4:26.453 to their opponents' 4:35.957.
In the men's event, Ed Clancy, Steven Burke and Jon Dibben were joined by Andy Tennant in the final after Sam Harrison competed in qualifying.
The quartet faced Russia and led the way in 4:02.258 to 4:02.460.
King was second in the points race while Jess Varnish and Becky James were third in the team sprint (33.771).
There was no medal for the men's equivalent with the British coming fourth.