This work proposes a simple method of fabricating microlens arrays with the unique characteristics of polarization independence and fast response time. This microlens arrays were composed of a concave polymer microlens arrays and blue phase liquid crystals (BPLCs). The experimental results showed that the microlens arrays were fast switched between positive and negative focal lengths via controlling the electric fields, and the response time was a few hundred microseconds. Additionally, the focusing efficiency was not dependent on the polarization of incident light.