A new type of local resonance sandwich metastructure beam is proposed in this paper. The structure consists of the corrugated sandwich beam matrix and local resonance units which is composed of mass blocks wrapped by soft materials. The band gap distribution and vibration transmission characteristics of the structure are calculated by transfer matrix method and finite element method respectively. The vibration transmission test platform of the sandwich metastructure beam was built, and the test data were obtained and compared with the calculation results. Finally, the regulation strategy of the structural parameters on the band gap characteristics of the structure was studied. The results show that: there are two flexure wave band gaps in the low frequency range, and the band gap frequencies are 196.1~339.0 Hz and 377.2~655.6 Hz, respectively; a full band gap is shown in the flexure wave band gaps, and the frequency range is 380.0~423.6 Hz. Within these two band gap ranges, significant suppression of flexure vibration transmission occurs. The structural parameters of corrugated sandwich beams have great influence on the characteristics of the band gaps. The low frequency and high bandwidth vibration reduction requirements of the local resonance sandwich metastructure beam can be realized by selecting proper structural parameters.