The new COVID-19 Pandemic caused by SARS-CoV-2 initiated in the world a largest quarantine, due to is exponential capacity of the virus in spreading from human contact. In the present work, it was evaluated the dynamics of such spreading by the indicator of growth-factor, and applied to it the space phase of the time series, the detrended fluctuation analysis (DFA) of the series, and the fractal dimension of the space phase. It was possible to notice a strange attractor in the space phase of the growth-factor, indicating that the process is chaotic deterministic. The value of the alpha coefficient by DFA showed to be less than 0.5, characteristic of long-range memory of the series, in which large events precedes small events. The fractal dimension of the phase space was a fractal number, between 1 and 2, another indicator that the exponential growth-rate of the virus spreading among humans is fractal. These results, even with small number of data, is pointing that the spread of COVID-19 is fractal.