Kettering made it seven games unbeaten but a dire clash with relegation-threatened Grays ended goalless.
The hosts started the brighter and Andre Boucard was denied by Rob Beckwith before the keeper made a fine save from Dale Bennett's 25-yarder.
But thereafter it was the visitors - who have won just twice on the road this season - who were the better side.
Jamie Slabber went close three times, while the hosts' Jason Lee headed wide late on to sum up a desperate game.
Kettering: Harper, Bennett, Dempster, Geohaghan, Luke Potter, Westcarr, Solkhon, Boucaud, Wrack (Jason Lee 59), Marna (Richard Graham 53), Seddon (Beardsley 65). Subs Not Used: Alfie Potter, Whatsize.
Booked: Geohaghan.
Grays Athletic: Beckwith, Wilnis, Stuart, Dinning, Beavan, Cogan, Elliott, Thurgood, Hudson-Odoi, Slabber, Lindie (Pugh 75). Subs Not Used: Arnold, Davis, Quistin, Gier.
Booked: Elliott.
Att: 1,117
Ref: R Fletcher (Derbyshire).
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