Koo will assume his new responsibility from November 8, replacing B S Seo, Hyundai Motor India Ltd said in a statement.
Seo would head back to the company's headquarters in Seoul after serving the organisation for more than five years in India.
Koo, who had earlier served in India under various capacities, is set to return to take up the new role, it said.
Jeong will take over as Executive Director Sales and Marketing, replacing Y J Ahn.