Translation:Happy New Year!
Actually, the most often used and the most traditional way is to say 新年快乐, none of my teachers or Chinese friends use 新年好 to geeet you on the chinese new years.
I think you must be referring to 1st of January? Don't forget for Chinese the first thing that comes to mind for 新年 is not 1st January, but Chinese New Year. For 1st January, of course everyone says 新年快樂, because that's translated from "Happy New Year".