Controlling the frequency of nonclassical light is essential for the implementation of quantum computation, communication, and the integration of various quantum systems. However, there is a practical absence of easy-to-integrate frequency-shift devices for solid-state single-photon sources. Here, we propose an integrated single-photon frequency shifter that utilizes acousto-optic modulation. The device is composed of two interdigital transducers (IDTs) for generating acoustic waves on a lithium niobate on insulator (LNOI) platform, along with a silicon waveguide that is periodically positioned at the nodes of the acoustic wave to enhance the interaction length. We achieved a low half-wavelength voltage length product V π×L of 0.18 V cm. With a driving frequency of 129.7 MHz and a driving voltage of 10 V, a frequency shift of up to ± 405 GHz is realized with near-unity conversion efficiency. Our findings illustrate the feasibility of deterministic on-chip quantum spectral control, which is pivotal for constructing hybrid quantum networks.