  $\mathcal{N}{=}\,2$ and $\mathcal{N}{=}\,4$ supersymmetric generalizations of
the 3-particle elliptic Calogero system are proposed. Supersymmetry generators
of the system are found in which the center of mass sector is described by the
supermultiplet ${\bf (1,\mathcal{N},\mathcal{N}-1)}$, while the sector of
relative coordinates is the supermultiplet ${\bf (2,\mathcal{N},\mathcal{N}-
2)}$. The $\mathcal{N}{=}\,2$ model described with three supermultiplets ${\bf
(1,2,1)}$ is also presented.
