Melbourne's new E-class tram has been vandalised in just its first week on the tracks.

Yarra Trams spokesman Simon Murphy confirmed the damage to the tram, which travels route 96 from East Brunswick to St Kilda.

The wrong track: The new E-class tram tagged with graffiti. Credit:Tanya Ingrisciano

Two of the Melbourne-made E class trams were launched last Monday.

The damage included graffiti tags to the front of the tram and a seat that had been slashed.