The former South Carolina governor and former ambassador to the UN had teased the launch of a White House bid for several weeks, but made the news official in a video released by her campaign.
She and Mr Trump are now the only two declared presidential candidates running in the 2024 election.
In that video, first reported by Axios, Ms Haley references her upbringing as an Indian-American in a town beset by de facto racial segregation. She also describes herself as a "proud daughter of Indian immigrants", who was "different" because she was neither Black nor white.
"My mom would always say, your job is not to focus on the differences but the similarities. My parents reminded me and my siblings every day how blessed we were to live in America," she says, before pivoting to an oft-repeated Republican trope that suggests that "some" - meaning Democrats - see the US as a flawed, fundamentally racist nation.
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