"Nothing is too shocking to me," reads a quote on the star attributed to Polanski, 76.
It is one of 12 stars on the walk of fame dedicated to giants of the film world such as Marilyn Monroe, Woody Allen and Penelope Cruz, which debuted on a public walkway in central Warsaw over the weekend.
Polanski was detained in Switzerland on September 26 on a US arrest warrant issued over a 1977 sex case involving a 13-year-old girl in California.
Switzerland's justice minister on Sunday promised a quick court decision on whether Polanski should be freed or face extradition to the United States.
A federal court in Bellinzone, southern Switzerland, is studying Polanski's case. His French lawyer, Herve Temime, has said he expects a court decision by the middle of the week.
A dual citizen of both France and Poland, Polanski fled the United States in 1978 having agreed in a plea bargain to admit to "unlawful sexual intercourse" with the girl, who testified that he had drugged and sodomised her.
The director of "Rosemary's Baby" and Oscar winner for "The Pianist" is married to French actress Emmanuelle Seigner and spends part of his time in Paris as well as Switzerland.