Taking into account physical layer waveform design for integrated Satellite-Terrestrial (S-T) communication systems, this paper proposes a new interference-free generalized frequency division multiplexing (GFDM) transmission scheme. Many advantages such as low peak- average-power-ratio (PAPR), low out-of-band (OOB) emission and good adaptability indicate GFDM is suitable for S-T communications. However, due to intrinsic inter-carrier interference (ICI), conventional GFDM receivers have poor performance and high complexity. In this paper, ICI is firstly evaluated in frequency domain, and corresponding anti- interference matrix is derived and added on the sending side. By introducing active inverse interference, low- complexity match filtering (MF) receiver can also get rid of intrinsic ICI completely. The simulation and analysis prove that the proposed transmission scheme is effective and easy to practice. In the additional white Gaussian noise (AWGN) channel and typical satellite multipath channel, the proposed scheme has better symbol error ratio (SER) performance than that of conventional GFDM systems significantly.