We propose a simple and efficient method to engineer absolute negative refraction for both polarizations of electromagnetic wave in two-dimensional photonic crystal by adding an additional component to the existing photonic crystal. The dielectric property of the additional component, as well as its insertion position in a unit cell, are chosen according to the field-energy distribution of Bloch states at the band edges. According to our design, the non-near-field focus and images for both polarized waves at the same structure and parameters, explicitly following the well-known wave-beam negative refraction law, can be realized.