The Darwin City Council wants to know what safety systems would be in place for transporting waste from the proposed Muckaty Station nuclear dump near Tennant Creek.

The council has weighed into the debate about Australia's first nuclear waste dump which is expected to be built at Muckaty Station.

Councillors want the Local Government Association of the Northern Territory (LGANT) to seek advice about risk management systems for transporting nuclear waste.

Lord Mayor Katrina Fong Lim says the waste would be taken to Muckaty Station on Northern Territory roads, railways or through the Darwin Port.

"It is actually about the risk management of how it could go," she said.

The council also wants LGANT to press the Federal Government for an inquiry into whether Muckaty Station is an appropriate place to store nuclear waste.