The pair were due to be out of contract at the end of June after the season was extended into next month because of the coronavirus pandemic.
Vertonghen is likely to walk away as a free agent later this summer, bringing his eight-year association with the North London side to a close. The 33-year-old, who joined Spurs from Ajax Amsterdam in 2012, has made 26 appearances in all competitions for Jose Mourinho’s side this season, scoring two goals.
Goalkeeper Vorm was brought in for a second Tottenham spell back in October as cover for Hugo Lloris when the French world cup winning goalkeeper was ruled out for the rest of the year with an elbow injury. The 36-year-old former Swansea City goalkeeper has made just one FA Cup appearance to date.
Tottenham also confirmed that contracts for their players on loan will be extended until the end of the season.
A statement on the club's official website reads: "We can confirm that defender Jan Vertonghen and goalkeeper Michel Vorm have agreed to extend their existing contracts with the club until the end of the 2019-20 season.
"Both players’ contracts were due to expire at the end of this month and this extension means they will now be available to play for us for the remainder of the current Premier League season."
"We have also agreed to extend the loans of Danny Rose (Newcastle United), Kyle Walker-Peters (Southampton), Jack Clarke and Luke Amos (both QPR), Brandon Austin (Viborg) and Armando Shashoua (Atletico Baleares) until the end of their respective league seasons."
Tottenham returned to Premier League action with a 1-1 draw against Manchester United on Friday.