The situation itself is also quite rare, he said, as dotterels usually nest near water.
Working with Auckland Zoo, the museum has taken a number of measures to protect the birds, Mr Frawley said.
These included cordoning off the nesting area, halting lawn mowing in the area, putting in place predator control measures, and the relocation of the Military Live Day to another part of the site.
The changes will be in place for about two months, to allow the eggs time to hatch and the newly formed bird family to leave.
"We'll be doing all we can to make sure they are well looked after over the next couple of months," Mr Frawley said.