We study supertwistor formulations of the D = 10 massless superparticle model on AdS_5 × S~5 superbackground of IIB supergravity. Product structure of the background suggests using Spin(1, 4) variables to express momentum components tangent to AdS_5 and Spin(5) variables to express momentum components tangent to S~5 that yields eight-supertwistor formulation of the superparticle's Lagrangian. We find incidence relations connecting supertwistor components with the AdS+5 × S~5 superspace coordinates and the set of the constraints that supertwistors satisfy. Solving the constraints for the Spin(1, 4) and Spin(5) variables it is possible to reduce eight-supertwistor formulation to the four-supertwistor one. Respective supertwistors agree with those introduced previously in other models. The advantage of the four-supertwistor formulation is the presence only of the first-class constraints that facilitates analysis of the superparticle model.
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