We present weak-lensing measurements using the first-year data from the Hyper Suprime-Cam Strategic Survey Program on the Subaru telescope for eight galaxy clusters selected through their thermal Sunyaev-Zel ’ dovich ( SZ ) signal measured at 148 GHz with the Atacama Cosmology Telescope Polarimeter experiment . The overlap between the two surveys in this work is 33.8 square degrees , before masking bright stars . The signal-to-noise ratio of individual cluster lensing measurements ranges from 2.2 to 8.7 , with a total of 11.1 for the stacked cluster weak-lensing signal . We fit for an average weak-lensing mass distribution using three different profiles , a Navarro-Frenk-White profile , a dark-matter-only emulated profile , and a full cosmological hydrodynamic emulated profile . We interpret the differences among the masses inferred by these models as a systematic error of 10 % , which is currently smaller than the statistical error . We obtain the ratio of the SZ-estimated mass to the lensing-estimated mass ( the so-called hydrostatic mass bias 1 - b ) of 0.74 ^ { +0.13 } _ { -0.12 } , which is comparable to previous SZ-selected clusters from the Atacama Cosmology Telescope and from the Planck Satellite . We conclude with a discussion of the implications for cosmological parameters inferred from cluster abundances compared to cosmic microwave background primary anisotropy measurements .