Abstract: Two parameters for Brownian motion and the increment of the law of the iterated logarithm problem, using two parameter Brownian motion and increment as a tool, the law of the iterated logarithm for large deviation of Brownian motion and its incremental results about violations of the law of the iterated logarithm for the appropriate improvement, and promote the Brownian motion of two parameters, finally got two parameters Brownian motion increment of triple logarithmic law. Two parameters of Brownian motion is made up of Brownian motion is derived, with a series of and the probability of Brownian motion corresponding to the nature and the characteristics of the analysis, so with the help of predecessors, Brownian motion and Brownian motion increment of the law of the iterated logarithm for research, the two parameters of Brownian motion law of the iterated logarithm for qualification, reinforced conditions after the two parameters of the Brownian motion of a functional limit as a result, the two parameters of the Brownian motion of incremental triple logarithmic law. The theory verifies the correctness of the results.