"Hope made a poor decision that has resulted in a negative impact on US Soccer and her team-mates," head coach Jill Ellis said.
Solo, 33, will now miss matches on 8 February against France and 13 February against England.
This month, domestic violence charges against Solo were dropped.
In 2012, Solo, tested positive for a banned substance a month before winning a second Olympic gold medal.
She maintained she was not aware the pre-menstrual medication she had been prescribed contained a banned substance and she was cleared of any wrongdoing.
The US are preparing for the Women's World Cup in Canada in June when they will aim to win their third title following victories in 1991 and 1999.
The latest incident surrounding Solo concerns a training camp being held by the team in Carson, California.
Solo's husband, former Seattle Seahawks NFL player Jerramy Stevens, was arrested on suspicion of driving under the influence in Los Angeles in the early hours of Monday morning.
Media reports claimed Solo was in the car but she was not cited in the incident by Manhattan Beach police officials.
Solo tweeted: "I think it's best for me to take a break, decompress from the stress of the last several months and come back mentally and physically ready to positively contribute to the team."

The suspension came a day after Germany's Lufthansa said it would suspend its services to the country.
The German company said Venezuela owed it millions in ticket revenues.
Oil-rich Venezuela has been hit hard by the global drop in oil prices and suffers from high inflation and a chronic shortage of basic goods.
Several airline companies have said that currency controls in Venezuela made it impossible for airlines to convert their earnings into dollars and send the money abroad.
In a statement, Latam airlines said it would suspend its operations to Caracas airport "temporarily and for an unspecified time".
It said flights on its Sao Paulo to Caracas route would end first, within days, and the other routes it runs to Caracas from Lima and Santiago would be halted by the end of July.
Strict currency controls were first imposed in Venezuela in 2003 by late President Hugo Chavez.
The restrictions were further tightened two years ago, forcing several airlines to reduce their operations in the country as they struggled to repatriate billions of dollars in revenue held in the local currency - the bolivar.
Some airlines are now requiring passengers to pay their fares in dollars.
Venezuela's government says it is using its foreign reserves - which are now scarce - to pay for essential items such as medicines and industrial machinery.
Recently Coca-Cola said it would be halting production of some of its soft drinks because of a lack of sugar while the tyre and rubber products company Bridgestone also ended its more than 60-year relationship with the country.

Innogy Renewables UK Ltd had been proposing a hydroelectric scheme on the River Conwy, near Betws y Coed in Snowdonia National Park.
But on Wednesday it said it had decided to shelve the Conwy Falls project.
The application had been due to be considered by Conwy council planning committee next week.
Innogy Renewables UK said the decision to withdraw the application was made following a late request for additional information.
It said that Natural Resources Wales' river basin management plan for western Wales had been updated last December, including a change to the sensitivity of salmon fisheries, following which further information had been requested.
The project, providing power to 3,200 households, attracted opposition from environmentalists, anglers, canoeists and businesses.
The firm has previously said it would have had a positive impact on the environment but campaigners were worried half an acre of the centuries-old Fairy Glen Wood would be destroyed by the build.
In March, the park's authority turned the plans down, asking for clarification on "minor issues".
Innogy Renewables UK Ltd said it would now consider its next steps.
Conservation charity the Snowdonia Society said it was "relieved that the immediate threat to the wonderful Conwy Falls and Fairy Glen has passed, but concerned that it could resurface yet again".
The United States women's team goalkeeper Hope Solo has been suspended for 30 days by US Soccer following an incident during a training camp.
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The largest airline in Latin America, Latam, says it is suspending its flights to Venezuela because of the worsening economic situation.
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Controversial plans for a £12m renewable energy project at a Conwy county waterfall beauty spot have been withdrawn.