The aim of this paper is to present the intraspecific differentiation of the curly silver fir (Abies alba Mill.) by the wood structure growing in the Ukrainian Carpathians. To find the morphological distinctions by using the silvicultural and biometric methods, 50 silver fir trees with anomalous wavy-relief stemwood formations were investigated. The trees aged from 94 to 132 years were characterised by the diameter at breast height of 32–59 cm. The length of the wave-grained stemwood varied from 6 to 11.5 m. The amplitude of the wood fibre waves varied from 4.4 to 24.1 mm. The smallest values of the amplitude of the wave-grained wood corresponded to the smaller wavelengths. The significant differences in the wood density and annual growth between the silver fir trees with the straight-grained and wave-grained stem wood were determined. The number of annual rings in 1 cm of the curly silver fir was 27.1% lower and 22.7% higher than the same characteristics for the straight-grained stem wood. The obtained linear equation described the relationship between the number of annual rings in 1 cm and the basic wood density of the silver fir with the straight-grained wood. The aesthetic features of the curly silver fir stem wood were discussed in the subject area of a new niche of exclusive wood products.