Goals from Michael West, Ricky Shakes and Calum Willock secured Ebbsfleet all three points after the visitors had gone in front inside just 59 seconds.
Grimsby made a great start, Anthony Elding finishing from close range following Michael Coulson's cross.
But West equalised on 15 minutes with an excellent 25-yard free-kick after being felled by Lee Ridley.
Shakes then powered home a header home after good work from Tom Phipp before Willock's clinical volley sealed it.
VIEWS FROM THE DRESSING ROOM
Ebbsfleet boss Liam Daish told BBC Radio Kent:
"We showed character. We didn't panic, kept our discipline and in the second half did things better.
"I was very happy, with three well-taken goals. It's been a great week, seven points from two ex-League sides and a difficult trip to Telford.
"It's another landmark. We've got confidence and you've got to realise we're playing in the same league for a reason and you're in with a great shout of a result and the lads are showing that."
Grimsby Town joint manger Paul Hurst told BBC Radio Humberside:
"We've lost a game that we feel was there for the taking. We got off to a perfect start but didn't build on it.
"It's another away day where we leave with nothing. I don't know if people don't want to do certain jobs and play certain ways.
"It does seem like we can't do any basics of the game at times, we can't clear the ball into the right area."