According to The Sun, Dan, 23, arrived to collect their son Teddy but Megan refused to let him go.
A source told them: "Dan was due to collect Teddy as it was one of his allocated days. Megan decided not to let him go so he called the police."
The visit allegedly ended in an argument, with a police spokesman adding: "Police were called to an address in Essex following a verbal altercation.
"Officers spoke to both parties. No offences were committed."
It comes after Dan – who is now in a relationship with EastEnders stat Jacqueline Jossa – was permanently axed from The Only Way Is Essex.
Earlier this year audio clips were published which heard a man, reported to be Dan, threatening to stab 22-year-old Megan.
Jacqueline, who is the mother of Dan's daughter Ella, publicly defended him after the tapes leaked.
She said: "I can assure you I wouldn't stand by a man capable of everything dan has been made out to be, he is my best friend, boyfriend and he is a brilliant father.
"He has never once been violent or even shown signs towards me."