Former MK Dons star striker Izale McLeod scored just before the half-hour mark to send North Ferriby to a 1-0 defeat at Wrexham.
It could have been more but for a very good performance by goalkeeper Rory Watson.
Ferriby did not carry the same degree of threat, although Connor Oliver and Curtis Bateson both had early shots blocked.
The goal was one worthy of winning a game. Anthony Barry fed Mcleod and his first-time shot curled just inside the post. It was an unstoppable effort but Watson was close to getting a hand on it.
The second-half largely belonged to Wrexham as Watson produced five good saves.
Ferriby chief Steve Housham said: “We can’t really complain about the result but we played with our usual spirit and determination and we’ll dust ourselves down and go again next week at Southport. The season is far from over.”
Wrexham: Dunn, Jennings, Riley, Tilt, Barry (Bencherif 84), Rooney, Carrington, Rutherford (Smith 83), Penn, White, McLeod (Massanka 68). Unused substitutes: Jalal, Harry.
North Ferriby Utd: Watson, Topliss, Gray, Skelton, Hare, Oliver, Armstrong (Templeton 62), Fallowfield, Emerton, Thompson, Bateson (Kendall 78). Unused substitutes: Douglas, Cooke, Fosu-Mensah.
Referee: A Bromley (Plymouth).