We study the asymptotic behavior of the spectrum of the Laplace equation with the Steklov, Dirichlet, Neumann boundary conditions or their combination in a twodimensional domain with small holes of diameter O(e) as e â +0. We derive and justify asymptotic expansions of eigenvalues and eigenfunctions of two types: series in đ· = | ln e|â1 and power series with rational and holomorphic terms in đ· respectively. For the overall Steklov problem we obtain asymptotic expansions in the low and middle frequency ranges of the spectrum. Bibliography: 18 titles.