Della Verde started his youth career at Tottenham Hotspur and Southend United, before signing a professional contract at Fulham in 2012.
He then played League football with Fleetwood Town and Crawley Town before having spells last season with Darts` league rivals Welling United and Concord Rangers.
Dartford manager Tony Burman said: “Lyle is a wide player who can play on both wings, he is a good footballer and at an age that I feel we can continue to improve him. I feel he will be a good addition to the squad”.