The government must guarantee it will scrap the Severn Crossing tolls as promised, the FTA has said.
Prime minister Theresa May pledged to scrap the charge, currently the costliest road toll in the UK, altogether last month as part of her election campaign.
The FTA said that it wants to see a clear commitment from the new government to upholding that promise now the election is over.
It currently costs an HGV £20 to cross the bridge, and a van £13.50.
The bridge is due to enter public ownership at the end of the year or early 2018 but, as it stands, lower tolls are to be introduced to the route, rather than scrapping them.
FTA head of policy for Wales and the South West Ian Gallagher said that "election commitment by all parties to end the charges was welcome" - the Labour Party also pledged to scrap the tolls in its election manifesto.
He added: "FTA members are now looking for a firm guarantee from the government to fulfil this promise to deliver much-needed revenue to business at a time when inflationary pressure continues to grow.”
Gallagher said the bridge toll puts an unfair burden on Welsh operators tendering in England, adding: "When business needs as much encouragement to grow as possible, it is key that central government delivers on its promise, to help the logistics industry keep Britain trading."