The box tree moth (Cydalima perspectalis (Walker, 1859)) is an invasive species naturally distributed in Asia. In Europe, the species was first identified in 2007 in Germany and the Netherlands. In the Republic of Croatia, it was first recorded in 2012 in Istria, while damages were recorded in 2013. It is believed that the species was brought to Europe, including Croatia, together with the seedlings of box tree plants (Buxus sp.). Caterpillars of all developmental stages cause damage. The caterpillars cause complete defoliation of the plants with their diet, and ultimately the death of the plant itself may occur. It is possible to recognize the species by its silk barriers and threads, and in the case of an intense attack, the entire plant is covered with them and remains without leaves. The aim of this work is to determine the morphological variability of box tree moth populations from Croatia and to assess its invasive character, the possibility of flight and further spread using the methods of geometric morphometry, i.e. the analysis of wing shape. A total of 269 butterflies from different locations in Croatia were collected for the purposes of the research. 222 upper wings and 201 lower wings of males, and 190 upper and 178 lower wings of females were prepared. In the assessment of the variability of the size and shape of the upper wings, 14 specific points were used, and 15 specific points were used for the lower wings. The analyzes used in this work are principal component analysis (PCA), canonical discriminant analysis (CVA). Applying standard analyzes of geometric morphometry on the wings of the boxwood moth, results were obtained in which a clearly visible difference in wing shapes between terrestrial and coastal populations, while sexual dimorphism was not established.