Huggies is the brand name of a disposable diaper marketed by Kimberly-Clark. Huggies were first test marketed in 1968, then introduced to the public in 1978 to replace the Kimbies brand.Huggies is the brand name of a disposable diaper marketed by Kimberly-Clark. Huggies were first test marketed in 1968, then introduced to the public in 1978 to replace the Kimbies brand.