The 57-year-old was pronounced dead at a flat in Trevelyan Terrace on Monday night, August 9.
A 54-year-old man has been arrested and charged in connection with the incident, according to police.
A Police Scotland spokesperson said: "We received a report of an alleged disturbance within a flat on Trevelyan Terrace, Hawick, around 9pm on Monday, August 9.
"A 57-year-old woman was pronounced dead at the scene. A 54-year-old man has been arrested and charged in connection with the incident.
"He is due to appear at Selkirk Sheriff Court today (Wednesday, August 11)."