  Superparticle models with $OSp(N|2)$ supersymmetry group are studied. We
first consider the $N=4$ case and construct the models with $\kappa$-symmetry
on the coset spaces of the $OSp(4|2)$ supergroup. In addition, within the
canonical formalism we present an $OSp(4|2)$ superparticle model with
semi-dynamical angular variables. For generic $N$ we construct a superparticle
model on $AdS_2\times S^{N-1}$ with the reduced $\kappa$-symmetry. It is
demonstrated that the Hamiltonian of this model has the same structure as the
one for the $N=4$ case because additional fermions contribute to the
second-class constraints only.
