Provided is an adhesive sheet for a precision electronic member which generates less amount of gas under high temperature atmosphere and which is suited as a low polluting adhesive sheet for a precision electronic member. The adhesive sheet for a precision electronic member has an adhesive layer comprising an acrylic copolymer obtained by copolymerizing a monomer mixture which comprises alkyl (meth)acrylate having 4 or less carbon atoms in an alkyl group and vinyl acetate in a proportion of 50:50 to 99.5:0.5 in terms of a weight ratio and in which a total content thereof is 80% by weight or more, wherein an amount of gas generated in heating at a temperature of 120° C. for 10 minutes is 1.0 &mgr;g/cm2 or less in terms of a n-decane amount.