Li Zhiyi (; born Wudi County, Shandong; c. 1048–1117) courtesy name Duanshu (Chinese: 端淑) was a Song Dynasty Chinese poet.
He married Hu Shuxiu (Chinese: 胡淑修; 1047–1105) and passed the imperial examinations in 1070 with a jinshi degree. He became a disciple and part of the Yuanyou circle that included Su Shi.
His best known work, the Busuanzi (Chinese: 卜算子; 'Song of Divination'), is included in the poetry collection 300 Song Ci (Chinese: 宋詞三百首). Its first verse is referenced in the contemporary novel The Three-Body Problem.[1]