In　industrial　statistics,　the　degradation　test　is　regularly　used　in　the　analysis　of　product　reliability.　This　paper　is　focused　on　the　modeling　of　accelerated　degradation　test　with　longitudinal　observation　under　constant　stresses　with　Berkson-type　measurement　errors,　and　suggests　the　minimum　distance　estimator　for　the　parameters　in　the　model.　The　consistency　and　asymptotic　normality　of　the　estimator　are　obtained,　and　the　performance　of　the　estimator　for　moderate　sample　sizes　is　shown　by　simulation.　©　2011　IEEE.