Spurs manager Harry Redknapp, who also signed defender Pascal Chimbonda from Sunderland on Monday, has been looking for a goalkeeper after releasing reserve team keeper Cesar Sanchez earlier this month.
"I met Heurelho Gomes and Ben (Alnwick) so it will be fantastic to work with
them and we'll try to push each other," Cudicini said.
"I think it will be a fair competition and that is good for the team.
"At this moment the team is not in the best position but it doesn't matter - I'm here to bring some experience and try to push this club forward."
Voted Chelsea Player of the Year in 2002, Cudicini has found his chances limited since Petr Cech's arrival in 2004.
"I'm really happy to be here to take on this new challenge and I'm really looking forward to being part of this great team and great club," said Cudicini.
"I'm really happy with this choice. This was the time to find a new challenge and push for other success - and for the club as well.
"I was at Chelsea for 10 years - nearly a third of my life. It was a fantastic experience but now we move forward."
In total, he made 208 starts for Chelsea and he featured four times this season, most recently in the 1-1 FA Cup draw with Southend on 3 January.
Meanwhile, Tottenham have agreed the transfer of Hossam Ghaly to Saudi Arabian side Nassr Saudi Club.
The 27-year-old Egyptian midfielder joined Spurs in January 2006 from Dutch side Feyenoord and made 34 appearances, scoring three times.
He was booed by Spurs fans as he warmed up among the substitutes in the FA Cup win over Wigan on 2 January.
Ghaly has not played for the first team since May 2007 when he threw down his shirt in anger when he was replaced after coming on as a substitute.
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