In a number of countries in Europe, the temperatures for January are all-time highs.
Regional records have gone down in three countries.
On Sunday, Warsaw, Poland, saw a temperature of 18.9C, while Bilbao, Spain, had a temperature of 25.1C.
North America is facing more severe storms just days after a deadly winter cold snap killed more than 60 people.
Severe storms and tornadoes are expected in Texas, Oklahoma, Arkansas and Louisiana as well as heavy snow and freezing rain in the north.
The weather in Europe at the start of the year has been warm.
The temperature in the Netherlands broke a national record.
Station records were broken in several countries.
On 1 January, the temperature in Warsaw was 4C higher than the previous record, and in Belarus it was 16.4C, 4.5C above the previous record.
In Spain, New Year's Day temperatures in Bilbao were the same as the average in July, and parts of Catalonia are subject to water restrictions.
It is rare for the difference to be more than a few tenths of a degree.
Ski resorts across the Alps have seen a lack of snow due to the warm weather.
Moscow is expected to fall to -20C by the weekend due to cold temperatures and snow in parts of the country.
The UK, Ireland, France and Spain all declared the year to be their hottest ever.
December was the hottest month in the UK. There was snow in large parts of the country in December.
Climate change has made heat waves more frequent and more intense.
Summer heatwaves can result in large numbers of excess deaths, but winter events do not have the same effect.
Since the beginning of the industrial era, the world has warmed by 1.1C and unless governments cut emissions, it will keep rising.