The infant was in a cot when it was strangled by a wall-mounted lamp's cord.
The incident, which happened in October 2012, has prompted the Swedish company to issue a safety warning about its IKEA SMILA wall mounted lamp.
It is urging all customers who have bought the product to return them to stores to receive a safety kit.
It also told parents to check cords and the lamp are well out of reach of children's cots and playpens.
The safety kit contains a warning label, safety instructions and self-adhesive fasteners for fixing the lamp cord to the wall.
The company refused to give any further information about the death of the toddler.
Thousands of the products are believed to be in circulation and the safety warning has been issued worldwide.