An optical head apparatus, and a recording and / or reproducing apparatus

3 order spherical aberration and suppressing the influence of the wave front aberration generated in correcting, to realize the recording and / or reproducing of good information. Collimator lens 4, the light transmission layer thickness of the first optical information recording medium 30 third-order spherical aberration remaining is minimized when the parallel light to the first objective lens 6 is incident to the first objective lens 6 the optimum base material thickness, generated in accordance with the thickness of the light transmission layer from the surface of the first optical information recording medium 30 corresponding to the optimum base material thickness of the first objective lens 6 to a desired information recording surface 3 correcting the following spherical aberration, the displacement of the wavefront aberration generated when the third-order spherical aberration correction in the farthest information recording surface of the first objective lens 6 of the first optical information recording medium 30, the first light information as displacement of the wavefront aberration generated when the spherical aberration correction of the third order in the closest information recording surface of the first objective lens 6 of the recording medium 30 and becomes equal, the optimum base material of the first objective lens 6 the thickness is determined.