The neutron dose is estimated by linear energy transfer (LET) spectrometry method for two reactions, viz.¹H + ⁹Be and ¹H+ ¹²C at 20 MeV proton energy using CR-39 track detectors. The LET spectrum is generated from the major, minor radii of each track and thickness of removed surface from each side of the detector due to chemical etching. Microdosimetric distributions of absorbed dose and dose equivalents are obtained from the LET spectrum. The absorbed dose and dose equivalent per incident proton obtained from the LET spectra are found to be about 12.5 and 8 times higher in ¹H+⁹Be reaction than ¹H+¹²C reaction.