The adverse maternal exposure during pregnancy leads to developmental disorders in the offspring that can be passed on to later generations. Epigenetic regulation of DNA transcription may mediate inherited metabolic diseases. An increase in homocysteine concentration in the blood is associated with epigenetic modifications of the genome, which can alter the fetal brain’s development program and cause cognitive impairment. The aim of our work was to identify changes in sensomotor development, behavioral reactions and cognitive functions of offspring of second generation rats (HcyF2) of hyperhomocysteinemia. Our results indicate that unconditioned reflexes and physical parameters are delayed in HcyF2 rats. In “open field”, HcyF2 rats showed higher levels of anxiety and decreased exploratory and motor activity, while coordination of movements studied in “rotarod” test was not impaired. Decreased limb muscle strength was shown in the “grip strength” test. Additionally, HcyF2 rats demonstrated an impaired learning and longterm memory in the Morris water maze. Biochemical analysis revealed an imbalance in the antioxidant systems, which was attributed to decreased activity of glutathione peroxidases and H2S synthesis enzymes. It was suggested that elevated homocysteine levels during pregnancy may result in epigenetic modifications of the genome, which can impact the metabolism of offspring and be inherited by future generations.