Chris Greenacre and Steve Davies scored a goal in each half to send Tranmere on their way to a first win of the season. Rovers came into the match on the back of two defeats, but were a class above Gillingham, who have now lost their first three matches.
Greenacre put Rovers in front midway through the first half when he headed home Chris Shuker's right-wing cross.
Gillingham striker David Graham blazed over the hosts' best chance, before Davies fired the second from 18 yards.
Gillingham: Royce, Southall, Cox, King, Armstrong (Pugh 74), Bentley, Lomas, Crofts, Brown, Graham, Facey.
Subs Not Used: Stillie, Cogan, Stone, Clohessy.
Tranmere: Coyne, Stockdale, Chorley, Goodison, Sherriff, Shuker, McLaren, Jennings, Davies, Greenacre, Zola (Taylor 89).
Subs Not Used: Achterberg, Kay, Ahmed, Curran.
Booked: Jennings, Zola.
Goals: Greenacre 19, Davies 50.
Att: 5,302
Ref: F Graham (Essex).
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