We analyze for the first time the rules of breaking in an X-palindrome between human and chimpanzee. Results indicate that although the overall changes that occurred in the human X-palindrome are fewer than in the chimpanzee, mutations occurring between the left arm and right arm were nearly equivalent both in human and chimpanzee when compared with orangutan, which implies evolutionary synchronization. However, there are many more A/T→G/C changes than G/C→A/T in a single arm, which would lead to an increasing trend in GC content and suggest that the composition is not at equilibrium. In addition, it is remarkable to find that there are much more asymmetrical nucleotide changes between the two arms of the human palindrome than that of the chimpanzee palindrome, and these mutations are prone to occur between bases with similar chemical structures. The symmetry seems higher in the chimpanzee palindrome than in the human X-palindrome.