Hamilton lost the title to Ferrari's Kimi Raikkonen by one point last season but Prost believes the 23-year-old can follow his own example and come back stronger.
Prost won four world titles after several near-misses and believes the McLaren driver can become the 2008 world champion.
"I think Lewis will be the top guy," Prost told BBC One's Inside Sport in an interview to be broadcast in Monday night's edition of the programme.
But the Frenchman predicted Hamilton would need the support of his team to achieve that aim.
"If he has a good car, I don't think it should be a problem. He has more experience now," added Prost.
"I lost the championship in 1981, 1982, 1983, 1984 by a few points and at one time, I said to myself it must be that I cannot win the championship - and then I won it four times later on.
"If you have everything together, you have plenty of time."
Prost predicted Hamilton's closest challengers would come from the Ferrari and Renault teams.
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