A source claimed: "He was not arrested. He was held at the airport for a while and then put back on a plane to London that night.
"If you are a foreign national and it is a large amount of drugs you may be charged.
"But if it is personal use, the consequences are that you will not be allowed in to the country. US law is very strict on this.' MailOnline has contacted representatives for Heaton.
Yorkshire-born Heaton, who has previously starred in DCI Banks and Casualty, plays Jonathan Byers in the sci-fi show.
The new series, which debuts today, takes place a year after the first,leading to some major character developments.
'They start out a year later, and they're totally sort of new people as a result of this experience that happened last year,' said David Harbour, who plays Jim Hopper.
Earlier this month the actor was pictured walking hand-in-hand with Stranger Things co-star Natalia Dyer in New York City.
It had been rumoured for months that the pair were dating - with the two seeming to confirm the suggestions during their casual walk.
They were first linked at the start of the year after being seen jetting out of the airport together a number of times.
Since then they have appeared together at May's MTV Movie & TV Awards while also looking chummy at August's San Diego Comic Con.