The high-efficiency video coding (HEVC) standard can reduce the bit rate of compression video. However, the compression efficiency of HEVC is still challenging current internet bandwidth. This problem can be solved by reducing the number of video frames encoded by HEVC and reconstructing the reduced frames that rely on frame rate up conversion (FRUC). Unfortunately, most existing FRUC methods need to re-estimate the motion information, a step that will lead to a huge increase of video decoder complexity. An improved HEVC video compression algorithm using low-complexity FRUC is proposed based on reusing the motion vector (MV) predicted by HEVC encoding procedure to directly reconstruct the skipped frames. First, an adaptive frame-skipping scheme is used to maximize reducing the number of frames that will encode by HEVC. Second, decoder extracts the MV and residual from the received bit stream. Then an MV reliability checking and rectifying method is proposed according to adaptive residual energy analyzing. Finally, a motion-compensation method and efficient occluded area processing algorithm are proposed to reconstruct skipped frames. These methods all directly utilize the rectified MVs. Experimental results show that due to the reduced frames and decoder that does not need to re-estimate MV, the proposed method can not only significantly decrease the time of all codec procedure when comparing HEVC and other FRUC-based video compression methods but also achieve 9.7022% to 66.0030% reduction in Bjøntegaard delta bit rate at low bit rates when compared to HEVC standard. In addition, the compression of the proposed method is also better than other state-of-the-art methods.