Several pedestrians nearly became collateral damage in an alleged domestic violence attack on Monday.

A man in a white Holden Commodore mounted the kerb in an attempt to hit a woman on the pathway of Todd St in the CBD of Alice Springs at about 2pm, Northern Territory Police said.

He nearly hit other pedestrians as he allegedly drove at the woman known to him, and then crashed.

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The man got himself out of the wreck and continued to chase the woman, police allege.

He fled the scene, but police arrested the 39-year-old at a home at about 4.45pm that day.

He was allegedly violent to police and attempted to resist arrest.

The man has been charged with aggravated assault, recklessly endanger serious harm, engaging in conduct contravening DVO, assaulting police, and resisting arrest.

He faced Alice Springs Local Court on Tuesday, and remains in custody. He is next set to appear in Alice Springs Local Court on August 7.