Adebayo Akinfenwa's debut goal ensured Swansea began life in a new stadium and a new division with a victory.
Akinfenwa ensured a winning start at the New Stadium
The summer signing bundled the ball home on 30 minutes after some typical magic from strike partner Lee Trundle.
The first-half ended with two penalty saves as Tranmere captain Jason McAteer and then Trundle were expertly denied.
Tranmere put the home side under severe pressure in the second half, but a combination of poor finishing and fine goalkeeping gave Swansea the points.
Swansea: Gueret, Ricketts, Iriekpen, Monk (Tate 45), Austin, Forbes, Martinez, O'Leary, Goodfellow, Akinfenwa, Trundle (Tudor Jones 90).
Subs Not Used: Connor, McLeod, Britton.
Booked: O'Leary, Akinfenwa.
Goals: Akinfenwa 30.
Tranmere: Achterberg, Goodison (Harrison 61), Jackson, Sharps, Linwood, Roberts, McAteer, Rankine (Jennings 62), Aiston (Hume 61), Zola, Greenacre.
Subs Not Used: Wilson, Whitmore.
Booked: Rankine, Aiston, McAteer.
Ref: L Probert (Gloucestershire).