Iron whiskers are produced by thermal decomposition of iron pentacarbonyl vapor in an indirectly heated empty-space decomposer in which the cross-sectional area for entry of the iron pentacarbonyl into the empty-space decomposer is from 10 to 40% of the cross-sectional area of the empty-space decomposer, the mass flow density of the iron pentacarbonyl vapor, based on the cross-sectional area of the decomposer, is from 0.01 to 0.07 kg per square meter per second, and the temperature in the empty-space decomposer should at no point be below 360.degree. C.