The company is asking employees at its 120 Washington, D.C.-area stores to write "Come Together" on cups they serve Thursday and Friday.
Company CEO Howard Schultz says the words are to "send our elected officials a respectful but potent message, urging them to come together to find common ground."
This is the first time employees are being asked to write anything other than customers' names on cups. Starbucks says workers are not required to do so.
Starbucks will also have an ad in the Washington Post on Thursday showing a cup with the words "Come Together" on it.
This isn't the first time the coffee chain is using its platform to send a political message. In the summer of 2011, Schultz also asked other CEOs and the public to stop making campaign contributions until politicians found a way to deal with a crisis over the debt ceiling that led to a downgrade in the country's credit rating.
The Associated Press contributed to this report.