The left-back put pen-to-paper after playing in Dover’s pre-season game of the 2018/19 season at Woking in July.
The former Republic of Ireland international had spent the past two seasons with Ebbsfleet United after joining from Dagenham & Redbridge in the summer of 2016.
He made 77 appearances in his time with Fleet.
Connors also made 49 appearances in League Two for Daggers after making his debut in 2013.
During his time with Dagenham, Connors, who started his career at Fulham, also spent time on loan at Boreham Wood.