Glacial hazards such as ice avalanches, glacial lake outburst floods, and debris flows have caused severe damage,in populated,mountain,regions such as the Swiss Alps. Assessment,of such hazards must consider basic glaciological, geomorphological, and hydraulic principles together with experience gained from previous events. An ap- proach is presented here to assess the maximum,event magnitude,and probability of occurrence,of glacial hazards. Analysis of magnitude,is based on empirical relationships derived from published case histories from the Swiss Alps and other mountain,regions. Probability of occurrence,is difficult to estimate because of rapid changes in the nature of glacial systems, the low frequency of events, and the high complexity of the involved processes. Here, the probability is specified in qualitative and systematic terms based on indicators such as dam type, geometry, and freeboard height (for glacial lakes) and tendency of avalanche repetition, precursor events, and increased water supply to the glacier bed (for ice avalanche,events). The assessment,procedures are applied to a recent lake outburst with subsequent,debris flow and to an ice avalanche,in the Swiss Alps. The results yield reasonable event maxima,that were not exceeded,by actual events. The methods,provide first-order assessments,and may,be applied in dynamic,mountain,environments,where population and infrastructure growth,require continuous,evaluation of hazards. Key words: glacial hazards, lake outburst, debris flow, ice avalanche, hazard assessment procedure, probability of occur-