In Hornsund Fiord, West Spitsbergen, the cobblees with varnish coat on their surface were found. They occur on low Holocene terraces on older and lower moraine ridges of Hans Glacier. There are two types of chemical coats: 1. corresponding to the mineral and chemical substance of the rock they occur on, and 2. independent of the rock, sedimented under influence of external activities. First type of coats is created by oxidative processes. The second type, like manganese-iron coats of intensive dark colours, does not differ from the phenomenon defined as "desert varnish". They were developed in Holocene in present conditions of polar climate. The authors lean toward biological origin of the coats.