Police approached Winslow, who was parked in his car outside a Target store in East Hanover, N.J., because they were summoned by a woman who complained that he was masturbating in the vehicle, according to police and court records obtained by ESPN.com.
The woman, whose name was redacted from the report, provided a written statement of her account. She was shopping inside Target when they arrived, police said.
According to the police report, "She pulled into a parking space to the right of [Winslow's] Escalade and noticed a male sitting in the driver seat with the window open. As she exited her vehicle, she commented to the male how cold it was. As she stood near the open drive side window ... she [saw that he was exposed below the waist]. She stated that she believed he was masturbating."
Winslow denied any wrongdoing and told police he was lost and looking for a Boston Market restaurant, according to the records.
Winslow's publicist, Denise White, issued a statement Friday on Twitter.
"Kellen pulled over to a parking lot to smoke what he thought at the time was a legal substance," the statement read. "He changed his clothes in his vehicle as to not smell like smoke when he returned home. There was absolutely nothing inappropriate that took place and if there was police would have investigated further and charged Kellen which they did not. This will be the only time we will comment on this unfounded and ridiculous claim."
Winslow was "slouched down in his seat and moving around" when police arrived, the incident report said. He was wearing dark sweatpants and his genitals were not exposed, according to police.
The initial police reports list "lewdness" as the originally reported crime or incident, but Winslow hasn't been charged with a crime of that nature. Because police didn't witness it, they can't charge him unless the victim signs the complaint form and appears in court.
The woman hasn't signed it, according to a person familiar with the case. The person said it's likely the woman didn't know at the time of the complaint that Winslow is a professional football player.
"Most people usually don't follow through," the person said.
Winslow was charged with possession of a controlled substance, a third-degree crime.
Once at his vehicle, police noticed eight packages of "Mr. Happy," five bottles of "Funky Monkey" and one empty plastic bag of K2 XXX -- all synthetic forms of marijuana.
"[Winslow] stated that he smokes the 'legal' synthetic marijuana to help him relax," the police report said. "He stated that he purchases the items via the Internet and local gas stations. He added that the NFL does not test for synthetic marijuana."
The incident occurred Nov. 19, one week after Winslow was reinstated after serving a four-game suspension for violating the NFL's policy on performance-enhancing drugs. Winslow was vague about the cause, claiming he believes the positive test was triggered by "allergy medication."
Police took the items from his car into evidence and sent them to a lab for testing. On Dec. 23, police received the lab results, revealing that "Mr. Happy" contained a form of synthetic marijuana called fubinaca.
Winslow appeared in court Dec. 30, one day after the Jets' season ended.
The well-traveled tight end is 30 and will be a free agent in March. It's highly unlikely that he returns to the Jets.