The first half was a lacklustre affair, which ended with both teams leaving the field to a chorus of boos.
Tottenham had marginally the better of things, but rarely applied any real pressure to Chris Kirkland's goal.
The best opportunity of the period was Paul Scharner's half-volley from a Heskey knock-back, which was pushed behind for a corner.
Interview: Gus Poyet
Campbell replaced Roman Pavlyuchenko at half-time as Tottenham boss Juande Ramos looked to shake up his side, and the introduction of the on-loan Manchester United striker at least gave the home side more purpose in attack.
Ramos soon followed this change with the introduction of Lennon for David Bentley, and almost instantly there were strong penalty shouts when Maynor Figueroa appeared to bring down Lennon in the box.
The home side had more purpose with the two substitutes on, but Wigan's well-organised defence ensured they struggled to create any genuine opportunities.
Interview: Steve Bruce
The fact Tottenham had to wait until the 73rd minute for their first meaningful chance, Lennon's off-target half-volley, summed up a frustrating afternoon.
Kapo, Heskey and Henri Camara all tried their luck from long range as Wigan attempted to catch the Spurs defence off guard with a late winner.
If any of their efforts had been on target, they could well have won it, and the chorus of boos which accompanied the Tottenham players off the pitch at the final whistle could have been even louder.
Tottenham manager Juande Ramos on rumours he wants to return to Spain and also his verdict on the match: "It is not true at all that I want to go home. I am delighted to be in London and at Spurs and am having a marvellous experience.
"We need time. Some players came in only just before the close of the transfer window and there have been big changes.
"The crowd gave their reaction at the end and maybe it was just but I don't think it is anything personal.
"We must still all work together and change the situation but it is a big pressure on the players at the moment."
Wigan manager Steve Bruce: "I am a touch disappointed as towards the end of the game there was only us going to win it but overall I am very pleased with what is always a good point here.
"We had a funny 10 minutes at West Ham which is not like us but since then I have been delighted. We have had a tough start and played Chelsea, West Ham and now Spurs but we are off and running.
"No-one really gives little Wigan a chance and we keep proving we have good players who in my opinion enhance the Premier League."
Bruce had to name goalkeepers Mike Pollitt and Richard Kingson on the bench after Michael Brown missed the game following the birth of a child and he added: "This kind of thing makes it a fantastic club to manage in some way."
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