John Woodward's side took the lead in the 23rd minute thanks to Luke Elvridge firing home with a right footed shot.
On the stroke of half-time and in their first attack of the game, Griff equalised when Aaron Donaldson's shot crept into the net off a Sphinx defender.
In the 67th minute, Donaldson scored again when he made the most of a defensive but the lead last only two minutes as a Danny Pittaway shot fell for top scorer Gianni Dainty who skipped round a defender before drilling the ball into the net from eight yards for his seventh game of the season.
Sphinx, who travel to Stourbridge on monday, had chances at the end of the game but had to settle for a victory.
The results from other local sides this week are:
PREM: Atherstone United 2 Hinckley United 4
EAST: Banbury United 0 Bedworth United 3
EAST: Rugby Town 3 Loughborough Dynamo 4
EAST: Southam United v Dosthill Colts - OFF
EAST: Stratford Town 1 Racing Club Warwick 3