The government declined to provide any details regarding the number of victims, their gender or ages.
"Police command is investigating a complaint of kidnapping at Ahodwo, Kumasi Royal Golf Club, at 8.25pm on 4 June 2019, where two women of Canadian nationality were kidnapped", said David Eklu, assistant commissioner of police, in a statement.
The two women - students at Kumasi Technical University - were outside their apartment in the Ahodwo district in the country's second largest city of Kumasi around 8 p.m. when the gunmen grabbed them and bundled into a vehicle.
Berube says no other information is being released so as not to "compromise ongoing efforts or endanger the safety of Canadians".
He said in a follow-up email that no further information could be given because of Privacy Act provisions.
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The Post's inquiry to the school went unanswered.
On Wednesday evening, Ghanaian high commissioner Joseph Ayikoi Otoo told The National Post in a statement that after speaking with the director general of police in Ghana, he learned that officers are now searching for the vehicle used in the abduction.
Ghanaian security agencies are on high alert following a recent spike in kidnapping cases.
A short while later, the Consular-General and Head of Mission of Estonia to Ghana was also kidnapped during his morning walk. He was later rescued in a police raid.
Speaking to members of the Ghana Anti-Corruption Coalition, he said, "We are all concerned about this phenomenon of kidnappings which we have not known".
The president of Ghana addressed the situation, saying he was very "determined" on the issue, Ghana Web News reported.