According　to　the　Guide　to　the　Expression　of　Uncertainty　in　Measurement　(GUM),　all　measurement　results　must　have　a　stated　uncertainty　associated　to　them.　But　in　most　cases　of　roundness　measurement　either　no　uncertainty　value　is　given,　or　the　calculation　is　not　based　on　the　model　of　the　respective　association　criterion　for　the　geometrical　feature,　because　no　suitable　measurement　uncertainty　calculation　procedure　does　exist.　For　the　case　of　roundness　measurement　in　coordinate　metrology,　this　paper　will　suggest　algorithms　for　the　calculation　of　the　measurement　uncertainty　of　the　roundness　deviation　based　on　the　two　mainly　used　association　criteria　LSC　and　MZC.　The　calculation　of　the　sensitivity　coefficients　for　the　uncertainty　calculation　can　be　done　by　automatic　differentiation,　in　order　to　avoid　introducing　additional　errors　by　the　traditional　difference　quotient　approximations.　The　proposed　methods　are　exact　and　need　as　input　data　only　the　measured　co-ordinates　of　the　data　points　and　their　associated　uncertainties.