Winds with gusts of up to 25m/second were recorded on Friday evening.
Most of the households that suffered outages overnight were in Espoo, but by daybreak on Saturday, power utilities crews had restored electricity supplies to all but about 100 homes.
Saturday morning's weather is expected to continue mostly fair and sunny, but with some continuing showers in eastern parts of the country.
On Saturday afternoon, a low pressure area will move across Lapland again bringing high winds in central and western areas, as well as in North Ostrobothnia.