We present weak lensing mass estimates of seven shear-selected galaxy cluster candidates from the Deep Lens Survey . The clusters were previously identified as mass peaks in convergence maps of 8.6 deg ^ { 2 } of R band imaging , and followed up with X-ray and spectroscopic confirmation , spanning a redshift range 0.19—0.68 . Most clusters contained multiple X-ray peaks , yielding 17 total mass concentrations . In this paper , we constrain the masses of these X-ray sources with weak lensing , using photometric redshifts from the full set of BVRz ^ { \prime } imaging to properly weight background galaxies according to their lensing distance ratios . We fit both NFW and singular isothermal sphere profiles , and find that the results are insensitive to the assumed profile . We also show that the results do not depend significantly on the assumed prior on the position of the mass peak , but that this may become an issue in future larger samples . The inferred velocity dispersions for the extended X-ray sources range from 250—800 km s ^ { -1 } , with the exception of one source for which no lensing signal was found . This work further establishes shear selection as a viable technique for finding clusters , but also highlights some unresolved issues such as determination of the mass profile center without biasing the mass estimate , and fully accounting for line-of-sight projections . A follow-up paper will examine the mass-X-ray scaling relations of these clusters .