The company did not give financial details of the deal.
Godrej Consumer Products Ltd (GCPL), part of the Godrej Group, had in January 2012 acquired a 60 per cent stake in Cosmetica Nacional continuing its string of buys in the space in emerging markets.
"The Board of Directors of the company (GCPL) have approved acquiring the balance 40 per cent stake in Cosmetica Nacional, a market leading hair colorant and cosmetics company in Chile," it said in a regulatory filing.