"I'm very confident that Mercedes is the right place to be over the coming years", Hamilton said.
Hamilton put an end to more than seven months of agonising contract negotiations to commit his future to both Formula One and Mercedes with a deal which will make him the sport's first £40million-a-year driver.
The 33-year-old Englishman's new contract cements his status as Britain's biggest sporting earner as well as the best-paid driver in F1 history.
Team boss Toto Wolff meanwhile stated that the final terms of the contract were only decided on this week, despite long-term negotiations.
Hamilton trails Ferrari driver Sebastian Vettel by eight points, and Mercedes is 20 points behind Ferrari in the constructors' championship.
He went on to explain that the two-year duration of the deal was a "strategic decision" as Formula One has yet to finalise commercial contracts with teams beyond the end of 2020.
"We've had our ups and downs through this journey as every relationship does, but it has been one of a lot of growth and I really appreciate Toto [Wolff] in being so patient with me, because I'm not the easiest".
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"I think Charles, one way or the other, will have a great career".
"Most people would not have been given the time-frame I chose to take, but the one thing that shows is the trust we have between each other".
"Whilst I know you have drivers calling you, which I expect".
Monegasque Leclerc, who has impressed with a series of good drives for Sauber, said he was flattered by the stories linking him with Ferrari, but remained committed to the Swiss team.
"I like Kimi", said Vettel.
Daniel Ricciardo, a two-time victor this season, is out of contract with Red Bull but Mercedes do not appear to want to risk rocking their stable ship. Prior to joining his current outfit, Hamilton made his debut with Vodafone McLaren Mercedes, where he won 21 Grand Prix races and took home the championship in 2008. It's just half an hour away where I was born and grew up. "I am also very conscious of how long it is beyond retirement".
The Briton, victor of 65 grands prix and with a record 76 career pole positions from 218 races, said on Thursday that he was still hungry for success.