  We compute different versions of link Floer homology $HFL^{-}$ and
$\widehat{HFL}$ for any $L$-space link with two components. The main approach
is to compute the $h$-function of the filtered chain complex which is
determined by the Alexander polynomials of every sublink of the $L$-space link.
As an application, Thurston polytope and Thurston norm of any 2-component
$L$-space link are explicitly determined by Alexander polynomials of the link
and the link components.
