Ebbsfleet had goalkeeper Lance Cronin to thank as they held Kidderminster to a goalless draw.
Chris McPhee and Darryl Knights went close early on and Cronin also saved well to keep out an effort from Brian Smikle eight minutes before half-time.
Scott Shulton headed over on the hour during a rare Ebbsfleet attack.
Smikle again somehow missed the target 16 minutes from time with a close-ranger header, before Matthew Barnes-Homer curled one over from 20 yards.
Kidderminster manager Mark Yates told BBC Hereford and Worcester:
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"We are very disappointed that with our dominance and the number of chances we created we haven't ended up winning the game.
"But on the positive side there was another clean sheet while I thought Martin Riley was back to his best today and he was superb for me.
"It was a hell of a lot better than Tuesday as I had asked for a response and I got that."
Ebbsfleet United: Cronin, Salmon, Crooks, Charles, Collins, Shakes, Shulton, Heeroo, Welsh (Forshaw 83), Vieira (Wills 79), Lindie. Subs Not Used: Lamprell, Pooley, West.
Kidderminster: Coleman, Courtney, Caines, Riley, Baker, McPhee, Bennett, Smikle (McDermott 75), Knights (Hadley 68), Barnes-Homer, Matthews. Subs Not Used: Singh, Finnigan, Dolman.
Booked: Bennett.
Att: 865.
Ref: S Burt (Hampshire).
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