Summary: This paper gives oscillation criteria for the third order nonlinear delay dynamic equation
on a time scale where is the quotient of odd positive integers, and are positive -continuous functions on , and the so-called delay function satisfies for and and . Our results are new for third order delay dynamic equations and extend many known results for oscillation of third order dynamic equation. These results in the special cases when and involve and improve some oscillation results for third order delay differential and difference equations; when , and our oscillation results are essentially new. Some examples are given to illustrate the main results.