  We derive the component Lagrangian for the free $N$-extended on-shell
massless higher spin supermultiplets in four-dimensional anti-de Sitter space.
The construction is based on frame-like description of massless integer and
half-integer higher spin fields. The massless supermultiplets are formulated
for $N\leq 4k,$ where $k$ is a maximal integer or half-integer spin in the
multiplet. The supertransformations that leave the Lagrangian invariant are
found and it is shown that their algebra is closed on-shell.
