The Utah man has been charged with first-degree murder in the shooting death of his wife who was a nurse.
The victim was found inside the house on Sunday, Utah Department of Public Safety spokesman David Anderson said.
The man, who was not identified by police, is expected to appear in court Monday.
The couple’s three young children, ages 8, 5 and 2, were in the home when the shooting happened, Anderson said at a news conference.
The suspect told police that he and his wife had a falling out, Anderson told The Salt Lake Tribune.
The two were estranged at the time of the shooting, Anderson added.
The family was on vacation in Mexico when they found the body, he said.
“We’re very saddened by this tragic event and our thoughts and prayers are with the family and friends of the victim,” Anderson said in a statement.
“This is a heartbreaking time for us as we mourn the loss of our loved ones.”
The victim, who has not been identified, was a member of the Utah Nurses Association and was attending a training session for nurses, Anderson explained.
She was found unresponsive in her bedroom.
The shooting took place just days after a man in the Salt Lake City area shot and killed his girlfriend.
His wife and two children were in another room of their home when he fired the fatal shots, according to the Salt Shomrim Police Department.
The shooter was in his 20s and is facing a charge of murder.
The department said in August that its officers had received a number of calls about domestic violence, but it did not provide any details.