Laura Trott and Dani King - who both won Olympic gold in London - were joined by Katie Archibald and Elinor Barker and clocked 4:26.556, over nine seconds quicker than nearest rivals Poland.
This season has seen a change in rules for the women's team pursuit, with four members now competing over 4,000m, rather than three over 3,000m.
And Britain has been quick to adapt - trimming over six seconds off the world record they set at the recent national championships during their two races in Holland, with Olympic gold medallist Joanna Rowsell joining the quartet in qualifying.
Great Britain also won the men's team pursuit, Ed Clancy combining with Owain Doull, Steven Burke and Andrew Tennant to clock 4:02.258, just two tenths quicker than Russia.
King also won silver in the women's points race while double world champion Becky James and Jess Varnish combined to take bronze in the women's team sprint, won by Russia's Elena Brejniva and Olga Streltsova.
But there was disappointment for Olympic champions Jason Kenny and Philip Hindes, plus Kian Emadi, as Great Britain finished fourth in the men's team sprint, won by Germany.