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Abstract: In the past a few years，noncommutative space related problems are became a hot topic among a lot of researchers， and noncommutative space problems are extensively discussed in many field like quantum mechanics，quantum field theory，quantum electrodynamics，condense matter physics，astrophysics etc. In this article，we derive velocity operator and corresponding force operator thorough Hamiltonian of Dirac particle with electromagnetic field in the noncommutative space. By using the Bopp transformation，we provide Hamiltonian of Dirac particles with electromagnetic interaction in the noncommutative space and the noncommutative phase space，respectively. We also derive the expressions of velocity operator and force operator，which include correction term caused by noncommutativity. On these basis，we perform further analysis and have know that noncommutative effect　has some influences to the velocity and force operators of the Dirac particle，but the noncommutative character of momentum-momentum operator has no influence to the velocity operator of Dirac particle.

Key words: 非对易相空间, 狄拉克粒子, Bopp 变换