The plea comes as thousands of Commonwealth Games athletes and spectators arrive in the city.
Glasgow has been rocked by at least 10 sexual assaults since the turn of the year.
Several attacks in the South Side sparked a midnight march last month by thousands of outraged activists.
Police are still hunting three-men who raped a 33-year-old woman in Edinbeg Avenue, Toryglen, on May 12. The suspects are described by police as Asian and in their 20s.
A week later a 24-year-old woman was raped in Dixon Road, Govanhill.
The attack in the early hours of May 19 sparked a hunt for two men captured on camera with the victim before she was raped.
Police say inquiries are "ongoing" and anyone with information has again been encouraged to come forward.
Govanhill was also the scene of an alleged sexual assault on a 26-year-old woman on February 23.
A 22-year-old man has since been arrested in connection with the incident.
Fresh appeals have been issued by police over two separate attacks in Glasgow Green, just a mile from the Commonwealth Games Athletes' Village.
A 31-year-old woman was sexually assaulted on April 6 and less than a fortnight later a 27-year-old woman was attacked in the same park, on April 19.
Police insist the incidents are not linked and confirmed inquiries are continuing.
Arrests have been made following a further four attacks in Glasgow this year.
A 40-year-old man was charged after a 35-year-old woman was allegedly sexually assaulted in Kelvingrove Park on May 30.
A 37-year-old woman allegedly raped in Maryville Gardens, Giffnock, on June 1 led to an arrest of a man, whose age wasn't released by police.
A 22-year-old man was arrested after a 24-year-old woman was allegedly raped in Brunswick Street, Merchant City, on June 8.
And an alleged rape near Aurora Avenue in Clydebank on June 21 led to the arrest of a 22-year-old man.
Detective Superintendent Peter McPike, who heads up Glasgow's divisional investigation team, stressed that the incidents are "not connected".
He added: "There has been an unusual spike in the number of incidents but overall there is no increase in reported sexual crime.
"It has actually reduced. Obviously, one is one too many but we have to quantify this."
Meanwhile, inquiries are continuing after a 28-year-old tourist was sexually assaulted as she walked through Kibble Palace at Botanic Gardens at about 2.45pm on Saturday.
The man exposed himself to her then indecently assaulted the woman before leaving the palace at the Queen Margaret Drive and Byres Road exit.
He is said to be of Asian appearance, around 25-years-old, 5ft 7in, of medium build with short dark hair.
He was wearing a light-coloured T-shirt under a blue denim shirt, black trousers and dark shoes.