And it's a second win of the day for Rockets after they also came out on top in the women's competition earlier this afternoon.
We'll be back tomorrow in the double header between Southern Brave and Birmingham Phoenix in Southampton.
Our live text, in-play clips and radio coverage of the women's game will begin from 14:45 BST, with the men's game to follow at 18:15 BST.
See you then!
Post update
Chris Green
Middlesex all-rounder on BBC Radio 5 Live Sports Extra
Entertaining game and day. We saw some big hits in the first game. This last game going down to the wire, it was into the tailenders and they got themselves into a position where you never know. But the Trent Rockets look a string side, winning those close ones. Teams that win trophies, they find a way to win.
Post update
London Spirits' lower order ensured we had an entertaining finish, although they weren't always the most orthodox...
Video content
Video caption: Van der Merwe hits improvised six while falling backwardsVan der Merwe hits improvised six while falling backwards
Post update
And leg-spinner Rashid Khan was just doing what he does best, taking wickets and not giving away runs. He claimed two dismissals and conceded just 13 runs from his 20 deliveries.
Post update
Veteran Samit Patel also contributed with the ball, taking 3-20 from 20 balls.
Here's one of his wickets from the eyes of keeper Tom Moores...
Video content
Video caption: Watch remarkable head cam footage of wicketkeeper catchWatch remarkable head cam footage of wicketkeeper catch
Post update
Matthew Carter's wonderful tournament so far continued as he finished with three wickets for 17 runs from his 20 deliveries...
Post update
Looking back at the end of Rockets' innings, that late onslaught from D'Arcy Short really did prove the difference...
Post update
Heather Knight
England captain on BBC Radio 5 Live
The Trent Rockets played very well again. The fact they have won close games puts them in good stead. You grow from those.
BreakingTrent Rockets win by seven runs
Spirit 116-8
Another play and a miss! A valiant effort from the Spirit lower order.
The term 'thriller' is easily branded about but this was such a close game which went down to the wire; we have been entertained.
Trent Rockets beat London Spirit by seven runs.
Spirit 116-8
Play and a miss! It's more or less over for Spirit and captain Eoin Morgan, watching on with crossed arms, knows it.
Just don't bowl a no-ball, De Lange.
Spirit 116-8
Need 8 from 2 balls
Outside edge and straight to the fielder at deep third. Just a single.
Spirit need a four. Or, even better, a six!
Post update
The crowd begin the slow Icelandic hand clap. This drama is exactly what The Hundred is about. De Lange to bowl.
Spirit 115-8
Need 9 from 3 balls
Slower ball, misses everything and they run through a single!!
Edge of your seat stuff!
Post update
Chris Green
Middlesex all-rounder on BBC Radio 5 Live Sports Extra
Have a listen to this crowd. They are getting right behind this local boy.
Spirit 114-8
Need 10 from 4 balls
What a shot! Cullen bowls it short and into the body of Cullen, the batter slashes it through backward point for four.
Post update
Heather Knight
England captain on BBC Radio 5 Live
What a shot that was from Cullen. Lord's just erupted.
Post update
Chris Green
Middlesex all-rounder on BBC Radio 5 Live Sports Extra
It is a fantastic cricket shot for the game!
Spirit 110-5
Need 14 from 5 balls
WOW! THIS GAME IS ON!
Blake Cullen launches it up and over mid-wicket for six!!!
Spirit 103-8
Need 21 from 7 balls
Van Der Merwe moves to the leg side, De Lange follows him with a short one and it's a dot ball. Clever bowling.
Live Reporting
Kal Sajad and Phil Dawkes
All times stated are UK
Video caption: Van der Merwe hits improvised six while falling backwardsVan der Merwe hits improvised six while falling backwards Video caption: Watch remarkable head cam footage of wicketkeeper catchWatch remarkable head cam footage of wicketkeeper catch 
Latest PostPost update
So there we have it, Trent Rockets make it three wins out of three to top the table in the men's competition.
You can read Callum Matthews's report of the game here.
And it's a second win of the day for Rockets after they also came out on top in the women's competition earlier this afternoon.
We'll be back tomorrow in the double header between Southern Brave and Birmingham Phoenix in Southampton.
Our live text, in-play clips and radio coverage of the women's game will begin from 14:45 BST, with the men's game to follow at 18:15 BST.
See you then!
Post update
Chris Green
Middlesex all-rounder on BBC Radio 5 Live Sports Extra
Entertaining game and day. We saw some big hits in the first game. This last game going down to the wire, it was into the tailenders and they got themselves into a position where you never know. But the Trent Rockets look a string side, winning those close ones. Teams that win trophies, they find a way to win.
Post update
London Spirits' lower order ensured we had an entertaining finish, although they weren't always the most orthodox...
Video content
Post update
And leg-spinner Rashid Khan was just doing what he does best, taking wickets and not giving away runs. He claimed two dismissals and conceded just 13 runs from his 20 deliveries.
Post update
Veteran Samit Patel also contributed with the ball, taking 3-20 from 20 balls.
Here's one of his wickets from the eyes of keeper Tom Moores...
Video content
Post update
Matthew Carter's wonderful tournament so far continued as he finished with three wickets for 17 runs from his 20 deliveries...
Post update
Looking back at the end of Rockets' innings, that late onslaught from D'Arcy Short really did prove the difference...
Post update
Heather Knight
England captain on BBC Radio 5 Live
The Trent Rockets played very well again. The fact they have won close games puts them in good stead. You grow from those.
BreakingTrent Rockets win by seven runs
Spirit 116-8
Another play and a miss! A valiant effort from the Spirit lower order.
The term 'thriller' is easily branded about but this was such a close game which went down to the wire; we have been entertained.
Trent Rockets beat London Spirit by seven runs.
Spirit 116-8
Play and a miss! It's more or less over for Spirit and captain Eoin Morgan, watching on with crossed arms, knows it.
Just don't bowl a no-ball, De Lange.
Spirit 116-8
Need 8 from 2 balls
Outside edge and straight to the fielder at deep third. Just a single.
Spirit need a four. Or, even better, a six!
Post update
The crowd begin the slow Icelandic hand clap. This drama is exactly what The Hundred is about. De Lange to bowl.
Spirit 115-8
Need 9 from 3 balls
Slower ball, misses everything and they run through a single!!
Edge of your seat stuff!
Post update
Chris Green
Middlesex all-rounder on BBC Radio 5 Live Sports Extra
Have a listen to this crowd. They are getting right behind this local boy.
Spirit 114-8
Need 10 from 4 balls
What a shot! Cullen bowls it short and into the body of Cullen, the batter slashes it through backward point for four.
Post update
Heather Knight
England captain on BBC Radio 5 Live
What a shot that was from Cullen. Lord's just erupted.
Post update
Chris Green
Middlesex all-rounder on BBC Radio 5 Live Sports Extra
It is a fantastic cricket shot for the game!
Spirit 110-5
Need 14 from 5 balls
WOW! THIS GAME IS ON!
Blake Cullen launches it up and over mid-wicket for six!!!
Spirit 103-8
Need 21 from 7 balls
Van Der Merwe moves to the leg side, De Lange follows him with a short one and it's a dot ball. Clever bowling.
Spirit 103-8
21 runs needed from 8 balls
Middled through cover for four!