Developing a compact model for organic thin-film transistors (OTFTs) would be significant for designing organic circuits. Contrasting the traditional silicon transistors, OTFTs are theorized using hopping transport and a Gaussian density of states. In this work, we present a new compact model for OTFTs by introducing hopping transport theory, a Gaussian density of states, and a physical mobility model. Our compact model is completely based on surface potential and its simulations do not require any threshold voltage. Simulations based on this model agree well with experimental data.