The recently proposed renormalized (R) and completely renormalized (CR) CCSD(T) and CCSD(TQ) methods, which remove the failing of the standard CCSD(T) and CCSD(TQ(f)) approaches at large internuclear separations, have been used to obtain the potential energy function and the vibrational spectrum of the HF molecule. The vibrational term values obtained in the renormalized and completely renormalized CCSD(T) and CCSD(TQ) calculations have been found to be in a better agreement with the experimental [Rydberg-Klein-Rees (RKR)] data than than the results of the expensive full CCSDT calculations. The simple R-CCSD(T) method gives < 10 cm(-1) errors for the vibrational energies up to similar to 41 000 cm(-1). The CR-CCSD(T) and CR-CCSD(TQ) methods reduce the similar to 300 cm(-1) errors in the full CCSDT results for the high-lying states near dissociation to 100-200 cm(-1).