Aswad Thomas broke the deadlock for the hosts, heading Sam Magri's cross home after 22 minutes, but from there the visitors took charge.
Andy Cook took his goals tally for the season to 10 with a brace, notching either side of half-time, before an own goal from Mitchell Walker and Ben Tollitt's fourth added late gloss to the scoreline.
The emphatic victory was not enough for Rovers to climb any higher in the National League table, but they have closed the gap behind leaders Forest Green Rovers to four points.
Match report supplied by the Press Association.
Match ends, Dover Athletic 1, Tranmere Rovers 4.
Second Half ends, Dover Athletic 1, Tranmere Rovers 4.
Substitution, Tranmere Rovers. Ethan Jones replaces Andy Cook.
Substitution, Tranmere Rovers. Michael Ihiekwe replaces Lee Vaughan.
Substitution, Tranmere Rovers. Adam Mekki replaces Darren Stephenson.
Goal!  Dover Athletic 1, Tranmere Rovers 4. Ben Tollitt (Tranmere Rovers).
Darren Stephenson (Tranmere Rovers) is shown the yellow card.
Substitution, Dover Athletic. Moses Emmanuel replaces Jack Parkinson.
Own Goal by Mitchell Walker, Dover Athletic.  Dover Athletic 1, Tranmere Rovers 3.
Goal!  Dover Athletic 1, Tranmere Rovers 2. Andy Cook (Tranmere Rovers).
Second Half begins Dover Athletic 1, Tranmere Rovers 1.
First Half ends, Dover Athletic 1, Tranmere Rovers 1.
Lois Maynard (Tranmere Rovers) is shown the yellow card.
Goal!  Dover Athletic 1, Tranmere Rovers 1. Andy Cook (Tranmere Rovers).
Goal!  Dover Athletic 1, Tranmere Rovers 0. Aswad Thomas (Dover Athletic).
First Half begins.
Lineups are announced and players are warming up.
Tranmere came from behind to cruise to a comfortable 4-1 victory over Dover at the Crabble Athletic Ground.