Lately, the improved outfitting and sports alpine skiing equipment have brought about significantly increased speed of their motion on the mountain slope. At the same time, alpine skiers’ psychological and physiological reserves remain practically unchanged. In order to enhance the statokinetic stability level of the alpine skiers included in the experimental group, normobaric hypoxia training in combination with cervical spine muscle exercises were used for a month during a preparatory period before competitions. The subjects of the control group used conventional exercises to enhance the statokinetic stability level. The results of the studies showed that the alpine skiers from the experimental group demonstrated a confidently increased tolerance time of continuous cumulation of Coriolis accelerations (versus initial measurements). We also observed the lowered intensity of negative vestibulosensory, vestibulovegetative and vestibulosomatic reactions. This showed their improved tolerance of continuous cumulation of Coriolis accelerations. Besides that, the alpine skiers of the experimental group showed positive changes in the static stabilometric test in the integrated functional computer stabilography. The open eyes test showed a confidently significant reduction in the rate of increase of the statokinesiogram length and area, oscillation amplitude of the projection of the common center of gravity in the frontal and sagittal planes, and also the coefficient of asymmetry in the frontal and sagittal directions. The obtained results can justify recommendation of normobaric hypoxia course to be used in combination with cervical spine muscle exercises as means to improve statokinetic stability in alpine skiers.