I report on the Hamiltonian reduction and canonical quantization of the simplest AdS superparticles, the AdS2 and AdS3 superparticles realized on OSP(1|2)/SO(1,1) and OSP(1|2)×OSP(1|2)/SU(1,1), respectively. The phase space of the massive AdS2 superparticle is represented as a coadjoint orbit of a timelike element of OSP(1|2). This orbit has a well defined symplectic structure and the OSP(1|2) symmetry is realized as the Poisson bracket algebra of the Noether charges.