Strain glass is considered as a new glassy state with frozen ferroelastic/martensitic nanodomains in shape memory alloys, which exhibits many novel functionalities, yet its nature remains unclear. In this study, we reported a new dynamic relaxation behavior in strain glass that was thought to be only present in structural glasses. An abnormal hump was observed in strain glass around 10 K upon normalizing the specific heat (Cp) by cubed temperature, quite similar to the boson peak in metallic glass. The simulation studies showed that this boson-peak-like anomaly in Cp corresponds to excess low-frequency vibrational modes that stem from the transverse acoustic (TA) phonon softening of the non-transforming regions surrounding the nanodomains. The phonon softening takes place in the TA branches not associated with the martensitic transformation displacements. This work may provide a useful perspective for understanding the nature of glassy states and associated vibrational properties.