Davies joins us on a five-year contract, while Vorm has signed a four-year deal with the Club.
The transfers will also see Gylfi Sigurdsson return to the Welsh club where he spent time on loan in 2012 and we wish him well for the future.
Left back Davies earned his first professional contract with Swansea in 2011 and has gone on to excel in their First Team, winning their Young Player of the Year accolade the past two seasons.
His impressive club form has also earned him 10 caps for Wales and he made a total of 91 appearances for the Swans, including starting their League Cup Final win against Bradford City in 2013.
Dutch goalkeeper Vorm moved to the Liberty Stadium in August 2011 and firmly established himself as first choice in their debut season in the Premier League, which saw him pick up Supporters' Player of the Year, Players' Player and the Away Player awards at their end of season awards.
In total, he made 97 appearances for Swansea and was also part of the Netherlands' World Cup squad this summer in Brazil.