Entanglement dynamical evolution of three two-level atoms coupled to a common environment is investigated. We utilize the tripartite negativity to quantify entanglement and analyze the effect of the initial state, pairwise dipole-dipole interactions on the entanglement dynamical properties of the system by means of numerical calculations. Results show that a novel quantum interference can be controlled by the relative phase of initially entangled states of the atoms. And the excited-state population can be trapped in the long time limit. Besides, the tripartite entanglement can be enhanced by choosing the appropriate conditions.