We study Pontryagin reflexivity in the class of precompact topological Abelian groups. We find reflexive groups among precompact not pseudocompact and among pseu- docompact not compact groups. Making use of Martin’s axiom we give an example of a reflexive countably compact not compact Abelian group. We also prove that every pseu- docompact Abelian group is a quotient of a reflexive pseudocompact group with respect to a closed reflexive pseudocompact subgroup.