Some 4,000 doses were delivered to Switzerland in November and have been distributed to cantons Zurich, Basel City, Geneva and Vaud, which had seen the most infections.
This was followed by another shipment of 14,000 doses, allowing people in canton Bern to get shots from December 8.
The first case of monkeypox was recorded in Switzerland in May and there are currently around 550 people infected.
In October, the federal health authorities struck a deal with the company Bavarian Nordic to deliver 40,000 doses of vaccine.
A further 60,000 doses have been ordered for the army and are due to be delivered next year.
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Government slammed for delay in monkeypox vaccination
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The Pink Cross organisation has criticised the Swiss government for failing to sign contracts to procure a vaccine against monkeypox.
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