New Year's Day in English is: New Year's Day. New Year's Day, commonly known as "New Year" in most countries around the world, is the first day of the new year in the Gregorian calendar. Yuan means "first day"; Dan means "day"; "New Year's Day" means "first day". The word "New Year's Day" first appeared in "Book of Jin": "Emperor Zhuan took the first month of Mengxia as the Yuan Dynasty, which actually means the spring of New Year's Day." In ancient China, the first days of the twelfth lunar month and October were regarded as New Year's Day.
Chinese New Year's Day has always referred to the first day of the first lunar month in the agricultural (summer and lunar) calendar. "Yuan" in "New Year's Day" refers to the beginning and means number one. The beginning of any number is called "Yuan"; "Dan" is a pictographic character. The "日" above represents the sun and the "一" below represents the horizon. "Dan" means the sun rising from the horizon, symbolizing the beginning of a day. Hope my answer is helpful to you.