Her brother had returned home at 5pm and did not realise the children were not with her as he had not been asked to care for them.
The children had conjunctivitis, runny noses, ear infections and one had school sores on their legs, arms, torso and face. They were also hungry and thirsty.
The woman was sentenced at Hamilton District Court on Friday to nine months' supervision and 150 hours' of community work, Fairfax reported.
Judge Glen Marshall told the woman she had used drinking as a coping mechanism and said it "is also pretty self-indulgent".
"I treat this at the lower end of the scale ... but there was the potential for catastrophe.
"You were drunk this time and a good deal before that as well. You should have clicked [your children] needed to go somewhere else if you weren't looking after them, because you were not doing that yourself."
He noted the woman had sought help, was no longer drinking and was now in a good relationship living in Auckland.
As part of her sentencing, the woman was also ordered to continue undergoing rehabilitation and counselling.