Gunathilaka is due to face charges in court on Monday, Sri Lankan Cricket said. It said in a statement it would closely monitor court proceedings and, in consultation with the International Cricket Council, launch an inquiry into the matter.
Australian police said they had arrested a 31-year-old Sri Lankan national at a Sydney hotel shortly before 1 am on Sunday (11 am NZST on Saturday) over the alleged sexual assault of a 29-year-old woman, and charged him with four counts of sexual intercourse without consent.
Police said the alleged assault occurred on Wednesday evening after the two had communicated for a number of days over a dating app.
"The pair met up in Sydney at a prearranged meeting. They had drinks and went for something to eat before going back to the young lady's home," said Detective Superintendent Jayne Doherty at a press conference.
"Police will allege that whilst they were in her home, the male assaulted the female a couple of times whilst performing sexual acts upon her."
The 31-year-old batter played a first round match against Namibia at Geelong in Australia but was ruled out of the remainder of the World Cup with a hamstring injury.
The Sri Lankan team were eliminated in the group stage of the World Cup. They lost to England on Saturday night in their final match of the tournament.