We present a theoretical study of the image potential resonances (IPRs) at metal surfaces. We develop the Green's functions approach allowing us to calculate binding energies E n and lifetimes τ n of IPRs with high quantum numbers n (up to 10 in this work). A systematic study is performed at the point for the close-packed metal surfaces: Cu(111), Ag(111), Au(111), Al(001), Al(111), Be(0001), Mg(0001), Na(110), Li (110), and also at the Y point on Cu(110). The calculated lifetimes of IPRs on close-packed surfaces demonstrate the scaling law τ n ∝ n 3 . Our results are in agreement with available experimental data. We show that at the Y point on Cu(110) each quantum number n corresponds to a pair of IPRs n + and n − , where the energy difference E n+ − E n− is proportional to n −3 . The lifetimes τ n+ and τ n− differ significantly, however, they both obey the scaling law τ n± ∝ n 3 . Since the electrons trapped in the long-lived IPRs are strongly localized on the vacuum side, we argue that the inelastic electron-electron and electron-phonon scattering have a small contribution to the decay rate of these IPRs. The latter is dominated by the resonant electron transfer into the bulk.