Properties of reflection phase in one-dimensional photonic crystals constituted by alternating layers of negative- and positive-index materials were investigated by transfer matrix method. The results show that the reflection phase difference between TE and TM waves in the zero- gap increases with the incident angle, and remains almost unchanged in a broad frequency band (the relative spectral bandwidth Δω/ω>19%). Based on properties, phase compensators with some advantages such as working effectively in a broad frequency range and continuously tunable compensatory phase etc. The influences of the changes of the scale factor, the thicknesses ratio, the refractive index and the period number on the phase compensators were also investigated.