The words 'famous' and 'popular' are sometimes confused by many of my private students. These 2 words can often describe the same thing or person...
...they do not mean the same thing. Both are adjectives and although they are similar, they are used differently. Look at these definitions with examples:
famous (有名な) = known about by many people
～ a famous artist/hotel
～ the most famous lake in Italy
"One day, I'll be rich and famous."
～ famous for something "He became internationally famous for his novels."
～ famous as something "She was more famous as a writer than as a singer."
popular (人気) = liked or enjoyed by a large number of people
～ a hugely popular singer
"This is one of our most popular designs."
"Skiing has become very popular recently."
～ popular (with somebody) "These policies are unlikely to prove popular with middle-class voters."
"I'm not very popular with my parents at the moment." (= they are annoyed with me)
Try this example:
"Tokyo Disneyland is a famous family theme park, but Tokyo Disney Sea is more popular with couples and adults. Probably because you can drink beer there!"