Tai Wu (Chinese: 太戊) or Da Wu, personal name Zi Mi (子密), was a Shang dynasty King of China. Records of the Grand Historian he was listed by Sima Qian as the ninth Shang king, succeeding his brother Yong Ji (太庚). He was enthroned with Bo (亳) as his capital. He appointed Yishe (伊陟) and Chenhu (臣扈) as his higher officers.
On the 7th year of his reign a mulberry tree (桑) and millet (穀) were found growing together in his palace. According to the Records of the Grand Historian, surprisingly, they grew to very tall trees within 7 days. This young king was quite scared and turned to Yishe for explanation, which was in regard to the king's former incapable governance. Tai Wu listen to his intelligent ministers and worked diligently; then, those two unusual trees withered very soon after he became a good king.