The 21-cap Poland goalkeeper is out of contract at Arsenal this summer, following seven seasons spent mainly as understudy to Wojciech Szczesny, Manuel Almunia and Jens Lehmann, and will move to south Wales on July 1 after agreeing a four-year deal.
And he told Swansea's official website: "I am very happy with the move, the decision and the club
I'm very excited for the coming season and the coming years
"It will be a big honour to represent Swansea City
Everyone interested in football knows that Swansea is a proper football club
The way they play football is nice to watch and they have always been an exciting team.
"Based on what the club has achieved in their three previous seasons in the Premier League, you can clearly see that year upon year the club is moving forward.
"The club represents good values and their style of football is something that I would like to be a part of.
"I know quite a bit about them already but I am sure I will get to know quite a bit more in the coming months
For me, it was an easy decision to make to join the club."
Michel Vorm is firmly established as first choice at the Liberty Stadium but has been the subject of speculation linking him with Liverpool and a reunion with Brendan Rodgers, who signed him for Swansea in 2011.
Regardless of the Dutchman's future, Fabianski is determined to become a first-team regular.
"If I'm completely honest, the main reason I came to Swansea was because I want to be the number one goalkeeper,'' he said
"I want to play week in, week out
"It's going to be a real fight, but I'm not afraid of that
Competition is always good, so I think everyone will take positives from that.
"I'm excited
I've already asked for the pre-season programme to see how it looks
I'm really looking forward to starting with my new team-mates and I think it's going to be a fantastic new chapter in my life.
"I will be working hard for the club, giving everything every single day
I can promise that."
Fabianski, who becomes Swansea boss Garry Monk's first signing since taking over from Michael Laudrup in February, made 78 Arsenal appearances and kept 25 clean sheets
The 29-year-old signed off in style as his final appearance came earlier this month when the Gunners beat Hull 3-2 in the FA Cup final to end a nine-year trophy drought, having beaten Wigan on penalties in the semi-final with Fabianski saving two spot-kicks
Source : PA
Source: PA