A man glassed a woman and then punched her friend in the face in one of two Anzac Day assaults that occurred within hours of each other on the same inner west street, police say.

The 24-year-old woman was taken to hospital for a cut lip after the alleged incident at a hotel on King Street, Newtown.

Police said an unknown man had a brief conversation with the woman at about 11.30pm before throwing a glass in her face.

He then allegedly punched her 28-year-old female friend in the face.

Police are seeking to speak to the man, who fled the hotel with another woman when emergency services were called.