After the war, Hundevad founded his own furniture manufacturing company in 1947. He worked with a variety of materials, but it was his innovative use of teak that attracted attention. He created furniture with a clean, functional design, often with simple, straight lines. His creations have been sold all over the world, notably in the United States.
Hundevad has received several awards for his work, including the Diplôme d'Honneur at the Brussels World Fair in 1958. He also taught carpentry and furniture construction at the Copenhagen School of Architecture for many years.
Hundevad's creations are still highly sought-after today, and are considered classics of 20th-century Scandinavian design.