AbstractIn the present work, we are concerned with the multiple solutions for quasilinear Choquard equation with critical nonlinearity inRN{{\mathbb{R}}}^{N}. We show multiplicity results for this problem, which are characterized, respectively, by the new version of symmetric mountain-pass theorem and the mountain-pass theorem for even functionals. The novelty of our work is the appearance of the convolution terms as well as critical nonlinearities.