Nordberg was a child prodigy, enrolling at the Stockholm Academy of Art at just 15. He studied there from 1920 to 1926 under Albert Engström, Alfred Bergström and Carl Wilhelmsson. Like many of his Swedish contemporaries he travelled widely, visiting Italy, France, Spain and Norway on painting study trips. He enjoyed a successful career as a fine artista, sculptor and cartoonist. He was a member of a group of artists called ‘De Young’ and found most of his inspiration in the rocky islands and coasts around the Swedish Archipeligo in Norrland.
His work is represented in the Gothenburg Art Museum, the Swedish Modern Museum and the Kalmar Art Museum. Nordberg's studio still exists on the island of Munsö and is now a museum. The world auction record for Nordberg’s work is still held by Christie’s, who sold a large oil in 2008 for £15,000.