Wrexham Council says it is currently considering plans for a celebration event after Wrexham won the FA Trophy at Wembley yesterday.
The town's Mayor, Ian Roberts, said: "I would like to congratulate everyone involved with the club on this success."
Wrexham MP Ian Lucas said: "the day will go down in the club’s history."
Wrexham player-manager Andy Morrell described winning the FA Trophy as "unbelievable".
He said the fans, who own the club, as "sensational for what they've done, and what they are."
Wrexham FC fans are celebrating after a penalty shoot out secure their victory over Grimsby to win the FA Trophy at Wembley. Rob Shelley was there.
First Minister Carwyn Jones and National Assembly Presiding Officer Rosemary Butler both released statements congratulating the team.
– First Minister Carwyn Jones
Many congratulations to Wrexham on their historic victory today. The team’s success is not only great for Wrexham, but is also more great news for Welsh football and for sport in Wales.
Andy Morrell has done a great job - leading the club through troubled times and turning them into winners. Through his and the players’ efforts, the FA Trophy is on its way to Wales for the very first time. Well done the Dragons - job done!
– Rosemary Butler AM, National Assembly Presiding Officer
“Well done to Andy Morrell and the team. This is fantastic news for the club and their fans, who have faced lots of uncertainty over the club’s future in recent years.
Let’s hope that the team make it a double and win promotion back into the Football League by winning that Conference title.
Congratulations to @wrexham_fc on their well deserved FA Trophy victory today.
Wrexham are FA Trophy winners after beating Grimsby 4-1 in the penalty shoot out.
Total attendance for the match was 35,266 with Wrexham defender Chris Westwood named Man of the Match.
After 30 minutes of extra time, the score's still 1-1 at Wembley. It's going to be down to penalties to decide which team walks away with the trophy.
It's 1-1 at Wembley, as the first half of extra time starts.
now, it's who has the grit, the determination, the edge, that bit about them
1st half of ET begins #notthealienfilm
Kevin Thornton has just scored a penalty for Wrexham to equalise the game in the FA Trophy