The court heard the couple had married in July 2013 after meeting four months earlier.
Mr Campbell told the court he thought Cohen was joking when he first approached him with the knife and it was only when blood poured out did he realise what had happened.
He narrowly missed his jugular vein and left blood pouring from a 10cm wound, the Daily Mail reported.
Judge Stephen Gullick told Cohen he had come to England with the intention of assisting his daughter.
"You came over to this country because your daughter's marriage was on the rocks.
"You and your son-in-law had been and bought some alcohol. You then got a hold of him by the head and effectively you slit his throat.
"You cut the skin of his throat but you did not cause any injury to the internal organs which is fortunate but a matter of luck rather than judgement."
Cohen was sentenced to six years in prison on a charge of wounding with intent.
Mr Campbell told the Daily Mail outside court that he had not seen his wife since the attack and that Cohen's six-year sentence was not enough.
"It is a total injustice as far as I am concerned. I was expecting him to get a lot more. He was trying to kill me, he wanted to murder me.
"I have had nightmares and the attack will always be in the back of my mind. It has shattered my confidence and I will live with this for the rest of my life.
"The amount of blood was like something out of a Halloween horror film. I had to hold my jugular together with my fingers to keep me alive."