The 24-year-old, who is thought to be on the verge of a £75m move from Everton to Manchester United, was arrested at about 8pm on Sunday after officers had given him “verbal warnings”.
A statement from the Beverly Hills Police Department said the Belgian international has been ordered to appear at a court in Los Angeles on 2 October.
But Sky’s Nick Powell said there was a possibility the player could be “legally represented”, meaning he may be able to avoid appearing in person.
Police said: “On July 2 2017, at approximately 8pm, Beverly Hills Police Department officers arrested a 24-year-old male subject by the name of Romelu Lukaku Bolingoli.
“Bolingoli received a misdemeanour citation for Beverly Hills Municipal Code Violation 5-1-104 – Excessive Noise.”
Police added: “The citation was issued after officers responded to five other noise complaints from the same location, which resulted in verbal warnings.
“These noise violations occurred at a residence in Beverly Hills where Bolingoli was temporarily residing.
“Bolingoli was released at the scene with the citation and was not physically arrested.”
On Tuesday, Lukaku posted a picture on Instagram of him in LA with Manchester United player Paul Pogba, and NBA basketball player Serge Ibaka.
The striker notched up 25 goals last season and was the second-highest scorer in the Premier League.