The random phase method and quadratic phase method are most widely used in the generation of non-iterative phase holograms. However, the former leads to the reconstruction being severely disturbed by speckle noise, with serious loss of detailed information, and the latter leads to the reconstruction being contaminated with ringing artifacts. To solve these problems, we present a novel, to the best of our knowledge, method capable of generating non-iterative phase holograms, hereafter referred to as hybrid-phase-only holograms (HPOHs). Our proposal is to use a weight factor to combine the random phase and quadratic phase to generate a hybrid phase mask. The hybrid phase mask is then superimposed on the target image to obtain a complex hologram by simple Fourier transform. Followed by retaining the phase of the complex hologram, we can generate the corresponding HPOH. The effects of different weight factors on the holographic reconstructions are discussed. Numerical simulations of reconstruction quality associated with the proposed method, random phase method, and quadratic phase method are presented for comparison purposes. Optical experiments based on liquid crystal on silicon also demonstrate the validity of the method.