The Cypriot fired nine aces and won 73 per cent of his service points to overcome Ferrer in an enthralling contest that lasted one hour and 30 minutes.
Konta, the world number eight who will carry Britain's hopes into Wimbledon along with Andy Murray, won 6-4, 6-1 against the Belgian Wickmayer and will face Australian Ashleigh Barty next.
- At 18 years and 109 days, Bencic is the youngest player to win a premier-level title since Caroline Wozniacki won in New Haven almost seven years ago - Uzbek Istomin wins men's title
The British number one will play Croatian Donna Vekic, 7-6(5), 3-6, 7-6(4) victor over Czech Lucie Safarova in the day's second semi-final, in the climax to the Wimbledon warm-up tournament on Sunday.