In this paper, we introduce a class of -quasipolar rings. Let be a ring with identity. An element of a ring is called {\it weakly -quasipolar} if there exists such that or are contained in and the ring is called {\it weakly -quasipolar} if every element of is weakly -quasipolar. We give many characterizations and investigate general properties of weakly -quasipolar rings. If is a weakly -quasipolar ring, then we show that (1) is weakly -quasipolar, (2) is commutative, (3) is reduced. We use weakly -quasipolar rings to obtain more results for -quasipolar rings. We prove that the class of weakly -quasipolar rings lies between the class of -quasipolar rings and the class of quasipolar rings. Among others it is shown that a ring is abelian weakly -quasipolar if and only if is uniquely clean.
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