This work develops a new mixed finite element method for arbitrary convex quadrilateral meshes to solve the Darcy-Stokes problem.We propose an H(div)-conforming element which based on a spline element over the crisscross subdivision of a quadrilateral to approximate the velocity.And the pressure is approximated by piecewise constant.Then we give the convergence analysis of our element and construct a new discrete de Rham complex.Moreover,an explicit lo-cal basis representation is provided.Lastly,numerical tests verify the convergence analysis.