â€‹Tram 3022 has a design inspired by the worker bee, which has become a symbol of solidarity following the Manchester attack on 22 May.
It will carry people travelling to the One Love Manchester charity concert at Old Trafford cricket ground later.
Free travel on the service is being offered to those who show staff a ticket for the concert.
In the days following the terrorist attack at Ariana Grande's concert, hundreds of people queued at Manchester tattoo parlours to get bee tattoos.
One city centre studio was faced with 800 potential customers and an 80-year-old grandmother chose the bee as her first inking.
Greater Manchester Mayor Andy Burnham said: "The incredible spirit of the people of Manchester has been what has sustained us all since last week.
"The Manchester Bee has taken on a new significance over recent days and it is fitting that we display it proudly as many of us head to what will be a memorable and moving event."
A tram paying tribute to the "spirit of Manchester" has begun to run on the city's Metrolink network.