Two-time Olympic team pursuit champion Ed Clancy defeated London 2012 team-mate Steven Burke to win the individual pursuit while Joseph Kelly completed the podium.
Four laps to go in the final I just gritted my teeth and dug in as much as I could," said Clancy.
"It was hard, I just went flat out. It was good to see Steven Burke and Joe riding hard; it's looking good for the team pursuit.
Meanwhile, Varnish took the 500m time trial title ahead of Victoria Williamson and Danniele Khan.
"It's not a personal best but it's the best I could have done today, I'm just happy to take the win," she said.
- Sports & Recreation
- Ed Clancy
- Steven Burke