The lower the energy of the HOMO, the more stable the compound might become. The HOMO is not enough to predict its reactivity. The energy of the LUMO and the relative occupancy of the HOMO and the LUMO also play a role. For example, if the HOMO is not filled, this makes the compound very susceptible to reduction even if the HOMO has a low energy.
Yes the molecule with lower HOMO energy is more stable than molecule with higher HOMO energy . When the electron enters in lower Highest Occupied Molecular Orbital (HOMO) then energy difference it and ground state energy level is smaller , hence it tends to be more stable than that (HOMO)having higher energy..