Wahidullah Mayar, spokesman for the ministry, told media late on Friday 11 of the positive cases had been detected in Herat, three in Farah and one in Ghazni.
The deadly virus, which surfaced three months ago in China’s Wuhan city, has spread to nearly 200 countries around the world.
More than 21,000 individuals have lost their lives to COVID-19, with the number of infected people increasing to 500,000 worldwide.