The invention relates to a lens group with a jogged structure, and a lens module. The lens group with the jogged structure comprises a first lens and a second lens. The first lens comprises a first inner end surface and a first outer end surface which are arranged back to back, and a plurality of clamping grooves. The clamping grooves form on the first inner end surface, extend toward the first outer end surface and are respectively provided with a clamping valley part. The second lens comprises a second inner end surface and a second outer end surface which are arranged back to back, and a plurality of clamping blocks. The fixture blocks form on the second inner end surface, extend to the first inner end surface and are provided with block peak parts near the first inner end surface. Theclamping blocks are embedded into the clamping grooves to improve the optical performance, reduce the volume, facilitate the assembly and reduce the manufacturing cost.