on Tuesday.
It meant the series ended 0-0 after Sunday's opener at Lancashire headquarters also finished as a no-result wash-out.
Heavy overnight rain, and fresh downpours on Tuesday, had left the outfield saturated ahead of the start of what should have been a day/night fixture.
Umpires Peter Hartley and Nigel Llong held an inspection at the scheduled local start time of 7pm (1800GMT), and looked again 45 minutes later, but ultimately decided conditions were so bad there was no prospect of even a five overs per side match, the minimum length required to produce a positive result.
Rain washed out the first Twenty20 at Old Trafford here on Sunday with England four for two in 1.1 overs in reply to Australia's 145 for four.
This T20 series followed on from the Ashes Test campaign which England won 2-1 with two draws.
After this match, England and Australia face each other in a seven-match one-day international series starting at the Oval on Friday.
