'to rest on one's laurels' definitions:

Definition of 'to rest on one's laurels'

From: GCIDE

laurels \lau"rels\, n. pl. An honor or honors conferred for some notable achievement. [PJC]
to rest on one's laurels [fig.] to be content with one's past achievements and not strive to continue to excel; as, he didn't rest on his laurels after receiving the Nobel Prize, but went on to made even more significant discoveries. [PJC]