  High index dielectric spherical particle supports the high-$Q$ resonant Mie
modes that results in a regular series of sharp resonances in the radiation
pressure. A presence of perfectly conducting metal surface transforms the Mie
modes into the extremely high-$Q$ magnetic bonding or electric anti-bonding
modes for close approaching of the sphere to the surface. We show that the
electromagnetic plane wave with normal incidence results in repulsive or
attractive resonant optical forces relative to metal for excitation of the
electric bonding or magnetic anti-bonding resonant modes respectively. A
magnitude of resonant optical forces reaches order of one nano Newton of
magnitude for micron size of silicon particles and power of light $1mW/\mu m^2$
that exceeds the gravitational force by four orders. However what is the most
remarkable there are steady positions for the sphere between pulling and
pushing forces that gives rise to resonant binding of the sphere by metal
surface. A frequency of mechanical oscillations of particle around the
equilibrium positions reaches a magnitude of order MHz.
