The Welsh club secured their first piece of major silverware in their centenary season with an emphatic 5-0 victory over League Two side Bradford at Wembley on Sunday.
Man of the match Nathan Dyer (two), Jonathan de Guzman (two) and Michu got the goals to ensure Michael Laudrup's side will have European football to look forward to next season.
Lord Mayor of Swansea, Councillor Dennis James, said: "This is a fantastic moment for the Swans and for Swansea as a whole.
"After their promotion to the Premier League, Sunday's events open a new chapter in a remarkable success story for our city's football team.
"I'm sure thousands of fans will want to line the route and be part of an event that will be remembered for years to come."
The parade will start at 4.30pm outside the Dragon Hotel, before weaving its way through the city to a civic reception at the Guildhall.
Rolling road closures will be in place so that routes can be reopened as soon as the parade passes through.
Leader of Swansea Council, Councillor David Phillips, said: "This is an exciting achievement and we have pulled out all the stops to get the victory parade organised as quickly as possible and we're sure it's going to be a tremendous success.
"We hope everyone who comes along has a great time, but the safety of the participants and the public is paramount. For this reason, we would ask all spectators to stay behind the safety barriers and follow any instructions that they may get from the safety stewards."
Source: PA
Source: PA