His lawyer later tweeted that his client was later freed, adding that the accusations were "demonstrably false".
Brown allegedly pulled a gun on her at his home on Tuesday, August 30, 2016, after an argument. She told the LA Times Brown had pointed the gun at her face after she had been admiring his friend's jewellery.
Ms Curran told the LA Times that she and a friend had gone to Brown's house with a business associate on Monday, August 29, 2016.
She said she had been admiring the diamond necklace of a man who got angry and told her to back away. That is when she says Brown pulled out a gun, pointed it at her face and told her to get out.
The 'Loyal' singer was reported to have come out of his home after a stand-off with police on Tuesday.
His lawyer tweeted that his client was later freed, adding that the accusations were "demonstrably false". However, it is not clear if Brown was charged or released on bail.
During the stand-off, the father of one posted videos online accusing the police of harassment.
"When you get the warrant for whatever you need to do, you're going to walk right up in here and you're going to see nothing, you idiots," he said in one Instagram video.
Brown also voiced support for the Black Lives Matter movement against police brutality in another video.