  Let $L$ be an algebra over a field $F$ with the binary operations $+$ and
$[,]$. Then $L$ is called a left Leibniz algebra if
$[[a,b],c]=[a,[b,c]]-[b,[a,c]]$ for all $a,b,c\in L$. We describe the inner
structure of left Leibniz algebras having dimension 3.
