Some important questions for new energy development were discussed, such as the prediction and calculation of sea surface temperature, ocean wave, offshore platform price, typhoon track, fn'e status, vibration due to earth-quake, energy price, stock market's trend and so on with the fractal methods ( including the four ones of constant di-mension fractal, variable dimension fractal, complex number dimension fractal and fractal series) and the improved res-caled range analysis (R/S analysis).