Question

is the intermolecular force between molecules of oxygen is dipole-dipole in nature?

Answer 1

Yes and no. The correct usual name is "London force" or "dispersion force" or "spontaneous dipole-induced dipole" perhaps. It occurs because of dipoles that momentarily and temporarily occur in the distribution of electrons in the O2 molecule, which then induce dipolar electron distributions in other O2 molecules -- and then the two dipoles interact in the usual way.

But usually when we say "dipole-dipole" force, we imply these are *permanent* dipoles, such as would be found in CO or NH3 molecules. O2 doesn't have a permanent dipole.