Needing 125 to go top of their division, Lancashire reached their target in a mere 11 overs for the loss of just two wickets.
Stephen Moore maintained his fine form in short-form cricket, making his third fifty in this year's competition and finishing with 66 not out off only 35 balls but the in-form batsman was given excellent support by his opening partner Tom Smith, who made 42 off only 22 deliveries.
Kent edged victory by nine runs in the South Group game against Sussex watched by a near 4,000 crowd at Canterbury.
The visitors' challenge faded when Scott Styris was caught on the deep midwicket boundary from the fourth ball of the final over, having hit the previous two balls for four and six.
New Zealand international big-hitter Styris had the home fans on edge as Mitchell Claydon made a bad start to the task of preventing Sussex from scoring 23 from the final over in reply to Kent's 20-over total of 173 for three.
But then Styris, attempting another clubbing legside blow, holed out to Brendan Nash at deep midwicket and.
Despite bowling a wide to new batsman Will Beer from his next ball, Claydon held his nerve to allow just a single and a leg bye from the last two balls of the contest to close out Sussex on 164 for six.
In the day’s other game, Warwickshire beat Gloucestershire by seven wickets.
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- Scott Styris