The former American national team goalkeeper was arrested after being noticed for sitting for over an hour completely knocked out in the driver's seat of a car outside a shopping center - with his two-year-old twins in the back seat.
The police who arrived at the scene wrote in the report that they smelled alcohol.
Solo is now charged with drunk driving, resisting police in connection with the arrest and child abuse.
She was later released and her lawyer, Rich Nichols, said in a statement that "the story is much more complex than the initial allegations show."
Solo writes on Twitter that she will be able to "share more facts in due course".
She also writes that the children are well.
“They are strong, intelligent, happy and lively and we do everything to give them as good a life as possible.
The children enjoy the sun in North Carolina, eat ice cream and play on the plot ", she writes.
On June 28, she will appear in court.
Solo is a two-time Olympic champion with the USA and also has a World Cup gold on the merit list.
She was allowed to leave the national team after controversy in connection with the 2016 Olympics.