Abstract: In this paper we present a new method-local accumulated deviation method for evaluating the fractal dimension of curves or one-dimensional(1D) surfaces. Our method is tested on various types of curves for Weierstrass-Mandelbrot fractal function and fractal Brownian motion with known fractal dimension. The results are good agreement with the theoritical values. Finally, using Monte-Carlo method, we simulated the randam rough(1D) surfaces with Gauss spectrum, and the new method is applied to data from simulating surfaces.