The emergency services were called to the property in Camerton, near Bath, on the afternoon of November 30 last year.
Paramedics tried to revive Mr Beesley, who played Buxton in ITV’s Victoria, but he was pronounced dead at the scene at 6.03pm that day, Avon Coroner’s Court heard.
In a statement read to the hearing, 48-year-old Ms Jensen said she came home, found her husband and called the authorities.
Ms Jensen said: “I was extremely shocked by what happened that night and I will never forget it. Terry and I had been together for 18 years, but I had not idea he was capable of what he did.”
Coroner Peter Harrowing concluded that Mr Beesley’s death had been as a result of suicide.
“There is no evidence that I have heard to indicate why Mr Beesley took the act that he did but in any event it is not my function to answer the question why Mr Beesley might have taken that act,” said Mr Harrowing.
Dr Sam Robinson, Mr Beesley’s GP, said in a statement the actor had “no past medical history of any mental health issues”.
In her statement Ms Jensen, who played Christina in the US show Ugly Betty, added she first met her future husband in 1999 while working on a production of King Lear.
They married in 2007 and had a child together two years later, living in London and LA before moving to Somerset.
Mr Beesley, who was born in London, played General Bennigsen in BBC One’s War And Peace and appeared in numerous other TV shows including the Bill, Casualty and as Derek Branning in EastEnders.