The transverse acceleration property of Airy beams makes it possible for beams to propagate along the curved trajectories in free space. The transverse acceleration propagation property of the new-type Airy beams was studied by utilizing the one-dimensional paraxial wave equation. The simulation results show that the transverse acceleration of Airy beam is relevant to the propagation distance and arbitrary transverse scale when the wavelength keeps constant. The transverse acceleration will become larger when the propagation distance becomes longer and the transverse scale becomes smaller. The Poynting vector was utilized to analyze the mechanism of accelerating property of Airy beams. Moreover, the twodimensional finite Airy beam was generated by utilizing the universal liquid crystal spatial light modulator, and the experimental study on the transverse acceleration property of Airy beam was also carried out. The experimental results coincide well with the simulation results.