Olympic champions Laura Trott and Dani King teamed up with A-Level student Elinor Barker to defend the title.
They clocked three minutes 18.140 seconds to beat Australia's Annette Edmondson, Ashlee Ankudinoff and Melissa Hoskins by 1.773 secs.
Becky James won 500m time trial bronze to pick up her second medal in Minsk.