The 40-year-old admits he did all he could to make the move to Stamford Bridge a reality after learning of their interest and is looking forward to the new chapter of his career
The 40-year-old goalkeeper made the short trip across west London after turning down a new contract at Fulham and will provide competition for Petr Cech.
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"It's a phenomenal club. It's one of the biggest and best clubs in the world, and it's an honour to sign for Chelsea. I didn't take much convincing to come here," he told the official club website.
"There were other interests but once I knew Chelsea was interested it was very much the case that I wanted to try and make it happen. I'm very fortunate and delighted to be sitting here today.
"I live closer to here than my previous club. There were a lot of things that ticked all the boxes, but most of all Chelsea Football Club is an enormous club and I think a club that can re-establish itself as the best club in the country.
"It has an unbelievable manager and an unbelievable squad of players and it's very exciting."