Question: is the palace museum in the forbidden city

Answer: Yes, The art collections of the Palace Museum (Chinese: 故宫博物院; pinyin: Gùgōng Bówùyùan), a national museum housed in the Forbidden City in Beijing, China, are built upon the imperial collection of the Ming and Qing dynasties. This collection was expanded in the 20th century with new acquisitions, transfers from other museums, and new archaeological discoveries.