The former mayor is considering the plan for his manifesto to retake City Hall in May 2012 - but similar schemes have proved controversial.
Chris Barker, transport spokesman for the Haringey Federation of Residents Associations, said: “When it comes down to discussing where it would go there would be problems, because fitting in the infrastructure would be difficult.
“But I would hope residents would respond very positively to having a tram system - as residents have in Croydon, where it is very popular and has revived the town centre. We’d like to be able to replicate that. I’m delighted that Ken has taken this up.”
Tram routes have run through Haringey in the past, with horse-drawn trams serving Tottenham as early as 1885.
In 1904 an electric tramway was set up linking Finsbury Park to Wood Green and Tottenham, but by 1938 all tram routes were replaced by bus routes and in 1961 overhead wires were finally removed.