Niko Kranjcar put Spurs ahead, tapping in after Stephen Ireland had blocked Peter Crouch's initial header.
Niko Kranjcar clipped in a second but the hosts barely got out of first gear.
Portsmouth did manage to build some passages of possession, mainly through Diarra, Baros, and the impressive Niko Kranjcar.
Tottenham then suffered a blow when Bale, who required lengthy treatment in the first half, was replaced by Niko Kranjcar.
Not surprisingly, Harry Redknapp made two changes at half-time, Jermain Defoe and Niko Kranjcar brought on for Assou-Ekotto and David Bentley.
Jermain Defoe had a near-post volley saved, Robbie Keane headed over and Niko Kranjcar struck a volley wide as Spurs struggled to find a way back.
Midfielder Niko Kranjcar followed Lassana Diarra, Jermain Defoe, Glen Johnson and Peter Crouch out of Fratton Park after agreeing a switch to Tottenham on 1 September.
Pedro Mendes and Sulley Muntari have left the club while Niko Kranjcar is sidelined following an ankle injury - leaving Redknapp without three of his FA Cup Final midfielders.
And he has joined the trail set by Glen Johnson, Dimi Traore, Sean Davis, Peter Crouch, Sol Campbell, Sylvain Distin and now also Niko Kranjcar in leaving Pompey this summer.
Keane sent Niko Kranjcar away down the left channel, his shot was blocked but Jenas followed up with a fierce long-range effort, that deceived Jensen after a cruel deflection off Stephen Jordan.
Spurs thought they had swiftly restored equality when Crouch bundled the ball into the net, but referee Alan Wiley adjudged that Niko Kranjcar had fouled James as he challenged for Bale's cross.
Niko Kranjcar tried his luck on the unpredictable surface with a speculative 25-yard effort and Aston Villa's Carson allowed the dipping drive to bounce in front of him and skid into the net.
Tottenham consolidated fourth place with a hard-fought 2-1 victory at 10-man Stoke , as substitute Eidur Gudjohnsen came off the bench to put the London club ahead before Dean Whitehead was sent off and then helped set up Niko Kranjcar's 77th-minute winner.
The Ghana international has responded well thus far, taking his goal tally for the season to 10 in 28 appearances with the opener in Saturday's 2-1 home defeat by Tottenham Hotspur, before Michael Dawson and Niko Kranjcar secured all three points for the visitors.
Tottenham were also cruising at 2-0 against Portsmouth as Ledley King celebrated his return from injury by heading home a Niko Kranjcar corner in the 29th minute and Defoe netted on the stroke of half-time against his former club, having earlier hit the post.
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