Half-lives of heavy cluster （14C-34Si） emission for heavy nuclei are theoretically calculated in the frame of WKB approximation. The microscopic nuclear potential between heavy cluster and residual nuclei for parent nuclei is obtained by double-folding process by using density-dependent nucleon-nucleon interaction with zero-range exchange term. The results are compared with those of liquid-drop model, systematic formula and experimental data.It is obvious that the present calculation can successfully give the lifetimes of heavy cluster（14C-34Si） emission for heavy nuclei. It also provides reasonable prediction for the other heavy cluster（15N, 46Ar and 48Ca, etc.） emission for some nuclei.