He first trained to be a grocer, but in 1906 began working for Danish silversmith Georg Jensen.

In 1922, Bojesen began designing wooden toys, typically about six to ten inches tall, with moveable limbs.

These included a teak and limba monkey (1951), an oak elephant, a bear made of oak and maple, a rocking horse of beech, a parrot, a dachshund, and toy soldiers of the Danish Royal Guard including a drummer, a private with rifle and a standard-bearer.

The Grand Prix is known as the national cutlery of Denmark and is to be found in every Danish Embassy worldwide.

Bojesen was an honorary member of the National Association of Danish Arts and Crafts, and was recognized for his toys by the Danish National Committee of the OEMP (World Organisation for Early Childhood Education).