Their executions bring to six the number of people beheaded since the start of January in the conservative Muslim kingdom.
Awida Utaibi was executed after a court found him guilty of murdering a relative, the ministry said in a statement carried by the official Saudi Press Agency.
Mohammad Shahbal of Pakistan was beheaded for smuggling heroin into the country. The drugs were found in capsules he had swallowed.
Rape, murder, apostasy, armed robbery and drug trafficking are punishable by death in Saudi Arabia.