The government is already examining options to limit the technology in some settings and to restrict sales to certain users.
NHS England and the Department for Education are looking into wearable technology in healthcare and schools.
A politician in the Senedd has separately defended wearing smart glasses in the debating chamber.
Kaur described the devices as hugely beneficial for some users while warning they could undermine privacy if misused.
Existing safeguarding and professional rules in those sectors already cover digital recording, she added.
The UK government is considering restrictions on smart glasses because of fears they are being used to film women in secret, a minister has said. Kaur said people who used smart glasses to record already risked breaking the law in places such as courts, where cameras are banned. For some people, including those who are visually impaired, the glasses have been a gamechanger that helps them navigate the world, she said.
Kaur said the benefits of smart glasses had to be weighed against the harms they could cause.