At around 9.45pm on Friday, the 35-year-old was walking through Kelvingrove Park near to Dumbarton Road when she was approached from behind by a man who grabbed her and subjected her to a sexual assault.
The victim managed to get away from the man and he then ran off through the park towards the Western Infirmary.
The victim then ran out of the park towards Argyle Street where she contacted police.
She did not require hospital treatment but she has been left very upset by the incident.
The suspect is described as male, between 35 and 45 years old and around 5'7" tall.
He is also described as being overweight and as having a tanned, Mediterranean or Asian complexion.
At the time of the assault he was wearing a red and grey outdoor style jacket and dark trousers and was carrying a small grey rucksack.
Detective Inspector Douglas Robertson in charge of the investigation said:"This has been a very frightening incident for the victim and specialist officers are continuing to offer her support.
"We are carrying out extensive enquiries including viewing CCTV in order to trace the man responsible for this assault.
"At this time, I would like to reassure the public that there is nothing to suggest that this incident is linked to any other sexual assault. There are additional officers carrying out high visibility patrols in the area and anyone with concerns should speak to an officer.
"I would like to appeal to anyone who was in or near Kelvingrove Park on Friday night between 2100 and 2200 hours to get in touch, particularly anyone who saw a man similar to the description above.
"Anyone with any information is asked to contact Glasgow West End Police Office on 101.
"Alternatively CRIMESTOPPERS can be contacted on 0800 555 111 if you wish to pass information anonymously."