Danny Carroll hit a 70th-minute winner to seal a 1-0 victory at Hinckley United to send Crawley ten points clear in the premier.
Crawley boss Billy Smith said: "This was one of our better performances away from home, and it was the work rate that won it for us. I never thought we'd lose. Danny Carroll always looks like he'll get us a goal, and he has done it for us once again."
Captain Luke Anderson went close and Warren Bagnall and Rob Collins had efforts saved by keeper Chris Taylor.
Ben Judge was denied by Taylor before Reds broke through when Carroll volleyed home from close range.
Hastings Town moved to the top of the eastern division with a hard-fought 1-1 draw at promotion rivals Dorchester Town.
Manager George Wakeling said: "If we continue to battle like we did we will there at the end of the season."
Hastings had the first real opportunity on ten minutes when great work down the left by Stuart Myall set up Duncan McArthur but his first-time shot drifted the wrong side of goal.
Former West Ham midfielder Matty Holmes was causing one or two moments of concern for Hastings. The visitors took the lead after 27 minutes when a long punt upfield released Paul Jones whose sublime chip drifted over the goalkeeper and went in off the inside of the post.
Dorchester grabbed a scrappy equaliser eight minutes into the second half.
Holmes bundled his way into the box and, although the Hastings defence prevented him from having a clear shot the ball bobbled up invitingly for Matt Groves to score from close range. There was an appeal for handball but the goal was allowed to stand.
Martin Eldridge and Steve Yates went close to restoring Hastings' lead before Myall worked himself an opening but shot across goal.
Dorchester almost won it in injury time when Danny O'Hagan's long-range effort was fumbled by Dave King but the keeper redeemed himself with a superb point-blank save to deny Groves from the rebound.
St Leonards' run of bad fortune continued when they lost 3-1 at home to Corby.
They dominated but chances went begging and soon after the interval they were trailing to a lob from Sean Brennan.
Des Boateng restored parity on the hour, but Corby restored the lead with an Ian Walker header in the 71st minute.
With fog drifting in late on, Corby wrapped up the points when a mis-hit shot by Alan Campbell deceived goalkeeper John Odlum.
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