Moore, who plays for Championship pioneers Liverpool, scored two times at some unacceptable end in the initial six minutes.
Things deteriorated for Moore when she jabbed another previous goalkeeper Erin Nayler before half-time.
Ashley Hatch and Mallory Pugh additionally scored for the US in the final part.
Moore's full go-around of own objectives - scored with her left foot, right foot and a header - preceded she was subbed in the 40th moment and it added to New Zealand's second loss at the SheBelieves Cup.
They lost 1-0 to Iceland on Friday, while the US drew with the Czech Republic.
"Every player who has played, and it doesn't make any difference what level, has extraordinary games and intense games, and 'Mouse' (Moore) had an extreme day at the workplace," said New Zealand mentor Jitka Klimkova.
"Clearly, she's pitiful and frustrated, however she's a mind boggling individual and player who has a place in this group. We are altogether behind her right now for her."
The two groups play their leftover apparatus on Wednesday with New Zealand taking on the Czech Republic and the US confronting Iceland.
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