The Shijing or Shi-Jing or Shih-Ching (“Book of Songs” or “Book of Odes”) is the oldest Chinese poetry collection, with the poems included believed to date from around 1200 BC to 600 BC. According to tradition the poems were selected and edited by Confucius himself. Since most ancient poetry did not rhyme, these may be the world’s oldest extant rhyming poems.

Shijing Ode #4: “JIU MU”
ancient Chinese rhyming poem circa (1200 BC - 600 BC)
loose translation/interpretation by Michael R. Burch

There are modern English translations of Chinese poems by Michael R. Burch. 

Before the Duke of Zhou