Melbourne's tram network will shut down over two days in the coming month as the state's public transport union takes further strike action for a pay rise.

Staff will walk off the job between 10am on 2pm on September 26 – two days before the AFL grand final – and again on October 10.

RTBU State Secretary Luba Grigorovitch. Credit:Paul Jeffers

The Rail, Tram and Bus Union has been at loggerheads with Yarra Trams over the union's demand for a 6 per cent annual pay rise over three years. Yarra Trams is offering a 3 per cent annual rise over four years.

The union is also frustrated at what it says is Yarra Trams' attempt to increase part-time work through shorter shifts and changed rosters.