He spent his entire club career with Hajduk Split.

In total, Lemešić scored 455 goals in 491 games, making him Hajduk's second most goalscorer, and tenth most capped player.

Lemešić made his debut for Yugoslavia in a May 1929 King Alexander's Cup match against Romania and earned a total of 5 caps, scoring 3 goals.

His final international was a May 1932 friendly match against Poland.

This biographical article relating to Croatian football is a stub.