The leader of Swansea Council has described the Swans' recent years as 'a footballing fairytale'.
The council has confirmed a victory parade for the Swans will take place on Tuesday.
Swansea manager Michael Laudrup has spoken of his pride after seeing his side thrash Bradford 5-0 to win the Capital One Cup at Wembley.
Laudrup told Sky Sports 1: "I'm very proud of my team today. I think it was a great performance."
He also hailed the triumph as the best of his managerial career.
Swansea City have made history - winning the Capital One Cup after beating Bradford 5-0 at Wembley.
Goals by Nathan Dyer and Michu have put Swansea City in a magnificent position as the two sides enter half-time.
Swansea City kick off against Bradford City in the final of the Capital One Cup at Wembley at 4pm.
It is Swansea's first major cup final in the club's 100-year history, and they are 90 minutes - plus extra time and penalties if required - away from winning their first major cup, and qualifying for European football next season.
League Two side Bradford also have history on their minds. They have knocked out three Premier League teams already, and become the first team from the fourth tier to play in a major Wembley final.
The ITV Sport website has live updates on the action.