"Amy Winehouse voluntarily attended a London police station today by appointment. She was arrested in order to be interviewed and is cooperating fully with inquiries," Goodman said in a statement.
"The interview relates to a video handed to police earlier this year," he said.
Britain's The Sun tabloid in January published still images from a video that it claimed showed Winehouse inhaling fumes from a small pipe. The images were said to have been filmed during a party at her home.
Winehouse, who is famous for her hit "Rehab," has had a turbulent private life. Last month she was cautioned by police for assault after she slapped a man during a night out. That means no charges were filed, but the incident was placed on her record.
Shortly after The Sun published still photographs of the video, Winehouse entered a London rehabilitation center.
