The couple believed to be from Iran, have been living in Sydney for four years.
According to the Daily Telegraph, police will allege that in the weeks leading up to her death, she was stalked and intimidated by her husband.
"We are not looking at any other suspects in this matter," Superintendent Fitzgerald told Fairfax.
"It is alleged that the son-in-law told [the father] certain things which brought the concern from the father to speak with police today."
The 41-year-old has been refused bail and is expected to front court today.
If you or someone you know is experiencing domestic violence, contact 1800 Respect (1800 737 732)