Just before 21:00 GMT, a man armed with a knife went into a bookmakers on the Grosvenor Road and threatened a member of staff.
He then produced a suspected firearm and threatened a second staff member before making off empty handed.
A man, also armed with a suspected firearm, robbed an off-license on the Springfield Road just after 22:00 GMT.
He made off with a sum of money and a quantity of cigarettes.
Police believe he may also have been carrying a knife.
Police are investigating a possible link between two armed robberies in west Belfast on Saturday night.