HUDDERSFIELD town manager Chris Powell was left feeling incredulous after seeing his side lose despite dominating almost from start to finish.
Nahki Wells missed two penalties and he and Jacob Butterfield hit the woodwork as Town did everything but score.
Alex Kacaniklic gave Fulham the lead straight from a corner after just 66 seconds, but Huddersfield were on top from then on.
Fulham, who also struck the woodwork through Cauley Woodrow, made the points safe in the sixth minute of stoppage time when Seko Fofana broke clear and slotted home the rebound after his first effort came back off thae post.
Powell said: “This game never ceases to amaze me. After minute two and before minute 96 it was one-way traffic. We hit the post, hit the bar and missed two penalties. We just couldn’t get the ball in the net.”
Kit Symons described his side’s victory, which included a red-card controversy, as “probably the most bizarre game I have ever been involved in”.
There was chaos around the hour mark when Shaun Hutchinson handled on the line only for referee Richard Clark to dismiss Woodrow. Fulham players protested and Clark consulted his assistant before sending off Hutchinson.
Marcus Bettinelli pulled off a great save from Wells’s penalty attempt. In the 72nd minute, Ashley Richards brought down Sean Scannell and Wells smashed this spot-kick against a post.
Huddersfield Town: Smithies, Edgar (Charles 87), Hudson, Lynch, Scannell, Hogg (Lolley 74), Coady, Butterfield, Smith (Majewski 75), Miller, Wells. Unused substitutes: Murphy, Wallace, Carroll, Gobern.
Fulham: Bettinelli, Grimmer, Hutchinson, Turner, Richards, Tunnicliffe, Hoogland, Kavanagh (Bodurov 61), Kacaniklic (Fofana 67), Woodrow (Rodallega 88), Smith. Unused substitutes: Kiraly, Roberts, Burn, Donnelly.
Referee: R Clark (Northumberland).
Man of the match: Marcus Bettinelli.