The 37-year-old was found in Church Place, Kemp Town, Brighton, near the bottom of Manor Road at around 6.30pm on Saturday.
She has been taken to hospital and currently her injuries are not considered life threatening.
Officers had been called to a disturbance in the area.
The attacker has not been found and enquiries are ongoing to trace him, police said.
Detective Inspector Donna Ward said: “This is a fast-moving investigation and we are searching to find the suspect.
“There were lots of people in the area at that time and we would urge those who were to report any information to police, as well as dashcam or doorbell footage.”
Witnesses or anyone with any information or footage can contact Sussex Police online or call 101 quoting serial 1179 of 26/05 Operation Woodstock.
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