The series of long-term observations of synoptic-scale currents obtained by instrumental measurements at the moorings in the Gotland Basin of the Baltic Sea are analyzed. The results of the statistical analysis of the currents reveal their wave structure. The characteristics of the low-frequency waves received on the basis of the cross-spectral analysis show that, in the range of periods from 2 to 20 days, they propagated in the southwestern, southeastern, and northwestern directions with phase speeds of 0.02-2.08 m/s and have lengths from 28 to 431 km. It is suggested that the distinguished wavelike perturbations of the synoptic-scale currents are related to topographic waves. The analysis of the meteorological conditions and the results of the numerical hydrodynamic modeling of the Baltic Sea free low-frequency fluctuations led us to conclude that the most possible mechanism of the generation of the intense wave-like oscillations of synoptic-scale currents in the Gotland Basin is the resonance between the anemobaric forces and the relatively slow-moving anticyclones over the open Baltic Sea and the eigenmode of the basin.