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In this paper we initiate the study of quasi Yamabe soliton on 3-dimensionalcontact metric manifold with Q\varphi=\varphi Q and prove that if a3-dimensional contact metric manifold M such that Q\varphi=\varphi Q admits aquasi Yamabe soliton with non-zero soliton vector field V being point-wisecollinear with the Reeb vector field {\xi}, then V is a constant multiple of{\xi}, the scalar curvature is constant and the manifold is Sasakian. Moreover,V is Killing. Finally, we prove that if M is a 3-dimensional compact contactmetric manifold such that Q\varphi=\varphi Q endowed with a quasi Yamabesoliton, then either M is flat or soliton is trivial.

Quasi Yamabe Solitons on 3-Dimensional Contact Metric Manifolds with Q\varphi=\varphi Q