"The staff member realised her mistake and consulted the manager. Two recipients pointed out the error and received apologies," a spokesman said this morning.
"This should not have happened and we have put changes in place ... to ensure that it doesn't recur, including additional training in privacy procedures for staff.
"Massey University regrets the incident," he added.
"We have notified the Office of the Privacy Commissioner of what occurred and the actions taken to ensure it does not recur."
A 21-year-old who received the email after having counselling earlier this year told NZME News Service she was horrified.
"It's so uncomfortable to know there are people that know I have been to see a counsellor."
Privacy Commissioner spokesman Charles Mabbett encouraged students to approach Massey University's Student Health and Counselling services to address the issue.
"Many people on this list probably have good reason to not broadcast the fact they are receiving counselling," Mr Mabbett said.