What is the relationship between Lao Zi and Zhuangzi?

Are representatives of Taoism. Because their theories and thoughts are very close, they are called "Laozi and Zhuangzi Philosophy".

But the two of them have no personal relationship. Lao Tzu probably predated Zhuangzi by more than one hundred years. Laozi lived in about 570- 470 BC, and Zhuangzi lived in about 369-286 BC, which means that Zhuangzi was born 100 years after Laozi's death. Zhuangzi was born in Shangqiu, Henan Province, and Laozi was born in Luyi County, Henan Province. Their birthplaces are very close. In ancient Henan, there were two Taoist sages, both from Henan. Together with Confucius in Shandong and Huineng in Guangdong, they represent the ancient culture of Confucianism, Buddhism and Taoism in China.