The Polish striker smashed home the opener on 15 minutes, put the issue beyond doubt after 73 and was denied a hat-trick by the linesman's flag with the last kick of the game.
Clive Allen's line-up included Rasiak, Noe Pamarot, Sean Davis, Michael Brown and Aaron Lennon with both Brown and Lennon putting in 45-minte shifts - Lennon was withdrawn as a precaution with a tight hamstring while it was always planned that Browny would only play the first half.
Few could have seen what was coming when Rasiak received the ball with his back to goal fully 30 yards out.
The big man spun away from Steven Watt and unleashed an unstoppable shot into the top corner leaving Lenny Pidgeley in the Chelsea goal grasping at thin air.
That goal paved the way for what was a comfortable win against a young Chelsea side full of energy but lacking teeth up front.
However, Chelsea's workrate and organisation led to a tactical affair as we dominated in terms of possession but failed to carve out clear-cut chances until the final quarter of the game.
Although we managed to get in a number of decent positions in the first half - particularly with Emil Hallfredsson down the left - our efforts at goal after Rasiak's blast were restricted to Brown's deflected shot saved by Pidgeley.
The second half started in similar fashion with Pidgeley's fine save from Hallfredsson's rasper the highlight of the opening 20 minutes.
However, the chances started to come inside the final 25 minutes. Pidgeley was out quickly to save from Barcham and Hallfredsson didn't quite get enough on a curler to trouble the keeper.
But Pidgeley was left helpless again after 73 minutes with a goal of pure simplicity. Davis clipped in a free-kick to the left met by Rasiak's glancing header that looped beyond Pidgeley and home.
At 2-0 it was game over and the only shame was that Rasiak was denied his treble by the flag in injury time as he slotted home Barnard's cross.
Rasiak signalled his intent in the first minute by crashing a header onto the crossbar
1min: Davis spread wide to Hallfredsson, cross on run headed onto crossbar by Rasiak.
5mins: Brown wide to Hallfredsson, low cross missed by Barnard eight yards out.
15mins: GOAL. Absolute cracker as Rasiak spun away from Watt and hit dipping shot into top right from 30 yards.
Spurs 1, Chelsea 0
20mins: Great covering tackle from McKenna as Younghusband threatened to break through the middle onto Smith's pass.
27mins: Younghusband dragged shot wide from 20 yards.
40mins: Smith snapshot on turn straight at Burch.
44mins: Brown one-two with Barnard, took shot early from distance, deflection forced scrambling save from Pidgeley.
Half-time: Spurs 1, Chelsea 0
52mins: Barnard beat Smith to the ball left channel and poked it to Hallfredsson, he stepped inside Watt and unleashed from 20 yards, Pidgeley fine save to tip over.
67mins: Barnard control and slid in Barcham, Pidgeley out quickly to gather at feet.
68mins: Rasiak played ball to Hallfredsson, saw gap open up to Pidgeley's right and attempted curler, keeper read it and made full-length save.
70mins: Younghusband cross just too high for Hollands to make connection just six yards out.
73mins: GOAL. Straight forward free-kick clipped in by Davis and met by Rasiak's glancing header that looped out of reach of diving Pidgeley.
Spurs 2, Chelsea 0
75min: Morais flashed shot over from 18 yards.
79mins: Daniels shot took hefty deflection off Smith but Pidgeley recovered to make save to his left.
87mins: OFF. Watt showed red card for dissent.
88mins: Rasiak and Barnard combined to set up Davis, didn't get hold of shot 18 yards out.
89mins: Sinclair volley across Burch fizzed inches wide.
Injury time: GOAL DISALLOWED. Rasiak denied hat-trick by linesman's flag with last kick of the game.
Full-time: Spurs 2, Chelsea 0
Spurs: Burch, McKenna, Daniels, Lee, Pamarot, Brown (O'Hara, 46), Davis, Hallfredsson, Lennon (Barcham, 46), Rasiak, Barnard. Subs: Mills, Button, Lewis.
Chelsea: Pidgeley, D Smith, Tillen, Pettogrew, Watt, Grant (Mancienne, 49), Morais (Simmonds, 83), J Smith (Sinclair, 66), Younghusband, Hollands, Keenan. Subs: Elmer, Ma-Kalambay.
Two goals from Grzegorz Rasiak - the first a real cracker - secured a 2-0 win and the reserve double over Chelsea on Wednesday night.