In the production of a dried acrylamide polymer by polymerizing, in an aqueous medium, acrylamide alone or a monomer mixture comprising 50 mole % or more of acrylamide and at least one monomer copolymerizable therewith with a radical initiator, and then drying the resulting hydrous acrylamide polymer, the allowing of at least one of the following compounds [I], [II] and [III] to be present in the drying step or a step prior thereto enables the dried acrylamide polymer having a high molecular weight and a good dissolvability in water to be obtained:[I] a non-polymerizable compound having in its molecule at least one group represented by the formula, ##STR1## wherein R.sub.1 is H or an alkyl group having up to 4 carbon atoms, [II] a compound represented by the formula, R.sub.2 --S--C.sub.n H.sub.2n X wherein n is an integer of 1 to 8, R.sub.2 is an alkyl group, an aryl group or --C.sub.n H.sub.2n X, in which X is --OH, --COOH (or its salt), --CN or --CONH.sub.2, and[III] a compound represented by the formula, ##STR2## wherein R.sub.3, R.sub.4 and R.sub.5 are H, alkali metals or alkyl or aryl groups.