Numerical solution of the phase-field model of brittle fracture involves the capture of high gradients at cracks. Meshfree methods are convenient to construct high order approximation and to implement local refinement. This facilitates the capture of local high gradients to a large extent. Due to this reason, this paper introduces the element-free Galerkin (EFG) method, which is one of the major meshfree methods, to the phase-field modeling of crack growth. The meshfree discretization of the governing equations is described. To further improve the computational efficiency, the consistent integration scheme for quadratic EFG method is employed. The capability of the proposed consistent meshfree method for phase-field model of brittle fracture in predicting the load-displacement response and crack patterns is demonstrated by numerical examples.