In a post published on Medium on Friday, the 55-year-old actor says the abuse started when he was 12 years old and Goddard was mentoring him.
Edwards says that Goddard 'quickly became a dominant force in my life' - taking advantage of an emptiness in his home life.
'Pedophiles prey on the weak. My father, who suffered from undiagnosed PTSD from WWII, was not emotionally available. Everyone has the need to bond, and I was no exception.
'My vulnerability was exploited. I was molested by Goddard, my best friend was raped by him — and this went on for years,' he said.
Edwards was too scared to report Goddard - who he described as a 'sick father figure' at the time, and he says this is typical of other child victims.'
Read More: ER and Top Gun star Anthony Edwards reveals he was molested when he was 12 by a male producer who also RAPED his friend