Mr Nees, who had cancer, died first in the double room they shared at Eldon Lodge rest home in Paraparaumu, north of Wellington. His wife suffered a stroke.
Mr Nees was a retired Baptist minister.
"They were strong Christians and therefore they knew where they were going, and they had no problem about going there," their son Robert Nees said.
He told the New Zealand Herald that his mother would not have known that her husband had preceded her, even though the couple "were in the same room, lying beside each other", surrounded by family.
"Their departure, it's sad but happy. Life wasn't easy for the last little while and that's over, that's all good."
Asked whether they might have had any premonition of their close departure, their son said: "It's so hard to know. It almost seems like it, doesn't it?"
Their daughter Joy Reid said the timing of their deaths was a miracle.