Although in a global context, New Zealanders have a lot to be thankful for, he said.
"This still means that New Zealand has by far the lowest mortality rate in the OECD, and it is several hundred-fold less than in most high-income countries.
"We can be grateful ... that as a nation we have really gotten behind this cohesive, responsible approach which is mostly about looking after our family members and our wider community.
"We have a lot to be thankful for at this point."
While Baker hoped New Zealanders had a chance to enjoy the festive season, he urged people not to take a break from Covid-19 measures.
"I really hope that New Zealanders do take this time to have a relaxing, enjoyable holiday without getting complacent.
"We do know that to stay in this position requires a continued effort from everyone."
Moving forward, he said New Zealand still had work to do on the equity of health services.
"The big feature to always think about is equity. We still have an unequal response, we still have Māori and Pasifika overrepresented amongst the cases and there's still an immunity gap, a vaccination gap."
Despite the obstacles, he said we were getting there.
The Ministry of Health has advised that there will be no Covid-19 information update today.