"Please remember all healthcare workers are doing their best to not only help you but all New Zealanders.
"I know how hard they are working, not just in Auckland but all around the country.
"I want to take a moment to sincerely thank them all."
Pressed on this, Bloomfield said it would "not be helpful" to reveal specific details of the incidents.
"It is just something I have always found inexplicable, that unfortunately some people verbally and physically attack staff.
"I recognise the frustration and concerns but encourage everybody to look after our healthcare workers. They are working flat out and I can tell you they are very tired."
Minister of Health Chris Hipkins reiterated the view the behaviour was "unacceptable".
"My message to all New Zealanders is this is an incredibly difficult situation for all those working on the frontline.
"Whether they are police on road blocks, staff at airports, people at medical facilities and hospitals, those on the phones, those doing testing - please be patient, be kind.
"These people are working exceptionally hard to provide New Zealanders with the care and support they deserve, and there are no grounds under any circumstances to be abusing these people."