"It was very disrespectful. She could have potentially damaged it through her stupidity," he said.
When questioned about her action, Watson said the woman claimed to be a close friend of the late John Britten, the New Zealand mechanical engineer who designed a world-record-setting motorcycle.
Te Papa's Britten V1000 motorbike is one of only 10 in the world.
A Te Papa spokesperson described the woman's actions as "dangerous", revealing the exhibit was insured for $700,000.
The bike was checked over and there was no visible damage.
The motorbike is the brainchild of John Britten (1950-1995), a New Zealander who had a dream to make the fastest four-stroke motorbike in the world. Britten began designing and building it in his garage-workshop.
It went on to become the only motorbike designed and built in New Zealand to have won both the National Championships and the New Zealand Grand Prix. It also holds four official world speed records, all gained in 1993.