In this paper, three kinds of q -deformations of three-dimensional isotropic oscillator are discussed in detail, the Hamiltonians of which have S3, SUq(2) , and Uq(3) symmetries, repectively. Especially, in the third case a specific realization of Uq(3)?SOq′ (3) is given. Relation between the q -deformed oscillator and the classical one is also discussed.