It was goalless at the break at Capershotts before Joey Maybanks gave the visitors the lead nine minutes into the second half. Luke Callander doubled Sudbury`s advantage on 68 minutes and seven minutes later it was game over with Callander`s second.
Fourth-placed AFC Hornchurch were left frustrated as they were held to a goalless draw at Bridge Road by Harlow Town.
Phoenix Sports are now ninth and moved above hosts Maldon & Tiptree after winning 3-2 at the Wallace Binder Group Stadium.
Ryman League
The Jammers had to play for 78 minutes with ten-men after they had Gavin Greenfield dismissed with a straight red card after 22 minutes.
Russell Bedford duly converted the resulting penalty to give the visitors a lead that lasted barely five minutes as Darren Mills equalised.
Mills then put the ten-men in front four minutes before half-time but Ricky Freeman bagged a brace on 58 and 63 minutes to see the Kent side home.
Witham Town moved seven points clear of the drop zone after winning 3-0 at the Village Glass Stadium against third-bottom Redbridge.
Ryan Charles gave the home side a 17th minute lead that Lee Townrow doubled six minutes before the break. And Townrow scored his second and Witham`s third five minutes from time.
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