. An algorithm of continuous stage-space MCMC method for solving algebra equation f(jr) = 0 is given. It is available for the case that the sign of f(x) changes frequently or the derivative f (x) does not exist in the neighborhood of the root, while the Newton method is hard to work. Let n be the number of random variables created by computer in our algorithm. Then after m = O(n) transactions from the initial value Xoix“ can be got such that |f(x* ) |< e”" l/cmf(x0)| by choosing suitable positive constant c. An illustration is also given with the discussion of convergence by adjusting the parameters in the algorithm.