Fulham buzzed with intent early on with midfielders Jimmy Bullard and Danny Murphy prompting and probing without being inconvenienced by their Spurs counterparts.
Johnson was a waspish presence in attack and it was from one of his darting runs that Fulham nearly took the lead in the 12th minute.
The former Everton man outfoxed Jonathan Woodgate on the wing and cut the ball back invitingly for Murphy, whose precise shot was blocked by the recovering Spurs defender.
Fulham came even closer a minute later when Gomes, who had recovered from a knock on the head in midweek, had to be at his gymnastic best to tip over Clint Dempsey's 30-yard piledriver.
From the resulting corner, however, the Brazilian reverted to type by flapping hopelessly at Paul Konchesky's inswinger and was fortunate that Brede Hangeland was unable to poke home the loose ball.
The former PSV Eindhoven custodian has endured a torrid start to his Premier League career and he was culpable again as Fulham took a deserved lead in the 35th minute.
In fairness to Gomes, Davies' cross from the left did take a slight touch off Woodgate's brow, but it should have provided only a minor inconvenience to a man who has been capped 17 times by his country.
The ball trickled towards the lumbering 6ft 4in giant at a snail's pace, but he was still unable to cling to it and watched on in horror as it rolled almost apologetically over the line.
Tottenham, who mustered only one David Bentley daisy cutter in the opening period, made a double change at the break with Luka Modric and Tom Huddlestone replaced by Roman Pavlyuchenko and Aaron Lennon.
The subsequent switch to 4-4-2 failed to stem the tide and nor could it mask Gomes' inadequacies, as he failed to hold a Bullard free-kick and was lucky his unconvincing parry failed to land at Johnson's feet.
But the England hopeful got the goal his display deserved in the 70th minute as Spurs again failed to deal with a set-piece.
Bullard swung over a corner to the far post which Davies nodded into the path of Johnson, who swivelled in an instant and cracked a left-footed shot past Gomes from seven yards.
That strike looked to have ended the contest but Spurs are a different beast under Redknapp these days and set up a nervous final ten minutes when substitute Fraizer Campbell restored hope with a smart finish from an angle after he had been located by Bentley.
Bobby Zamora then missed a golden headed opportunity and Gomes partially redeemed himself with an incredible leap to his left to keep out Bullard's free-kick, but the home side clung on for a highly creditable victory.