Abstract: According to the fractal theory,the fractal character of  earthquakes  in China is preliminarily discussed in this paper.The fractal model of conditions of earthquakes in China is also discussed.Some conclusions can be drawn as follows.(1) The formula of Gutenberg-Richter(lg N=-bM+a) is tenable for the data in China during a long period.(2) The fractal dimension of earthquakes for China is 1.485 8,that of Northeast  China is 0.635 2,that of North China is 1.137 2,that of Center China is 1.225 8,etc.The fractal dimension of earthquakes of Center China is the largest among 8 natural regions,that of Northeast China is the smallest among 8 natural regions.(3) The fractal dimensions of earthquakes of China answer to their spatial distribution.(4) The fractal model of conditions of China earthquakes(more than 1 000 deaths) is also established,the formula is lg N=-0.632 61g r+3.839(where r is the scale,N is the frequency above r).

Key words: fractal, fractal dimension, earthquake, China