Lawless won ahead of Rory Townsend (Pedal Heaven) in second, with JLT Condor team-mate Ali Slater in third.
It's Lawless's second win in the competition after he took the opening round on the Isle of Man.
JLT Condor's riders edged further ahead in the standings as they collectively finished just one second ahead of Pedal Heaven. JLT Condor now lead Madison-Genesis by eight points with three rounds to go.
Claire Rose (Podium Ambition) took the individual win in round three of the Matrix Fitness Grand Prix earlier in the evening. Nikki Juniper (Ford Ecoboost) came home for second, with Alice Barnes (Drops Cycling Team) in third.
Although the Podium Ambition squad claimed the team win on the night, Drops Cycling are still leading the overall standings with three rounds remaining.
The next round of the Tour Series and Matrix Fitness Grand Prix will take place in Stevenage on Monday, June 6.
Mike Northey was honoured with a special presentation made by Tour Series organiser Mick Bennett. Northey would have worn the number one this season racing for Madison-Genesis, but retired from racing due to heart damage caused by a viral infection. He now works as assistant team manager with Madison-Genesis.
Pearl Izumi Tour Series standings after round seven
1. JLT Condor, 75 points
2. Madison Genesis, 67 points
3. Team Raleigh GAC, 63 points
4. Pedal Heaven, 62 points
5. NFTO, 52 points
6. Team Wiggins, 0 points
Matrix Fitness Grand Prix Series standing after round three
1. Drops Cycling, 268 points
2. Podium Ambition, 255 points
3. Team Breeze, 230 points
4. Team Ford EcoBoost, 214 points
5. Team WNT, 185 points
Watch: Mike Northey - Show Us Your Scars
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