The invention discloses a construction process of an open sea fan foundation rock-socketed pile. The construction process comprises the steps of pile sinking of a steel pipe pile, setting a construction operation platform, drilling, performing intermediate inspection, finishing a drilled hole, clearing the hole, measuring the hole, placing a steel reinforcement cage, placing a guide pipe, clearing the hole for the second time and performing underwater concrete pouring procedure. In the pile sinking procedure of the steel pipe pile, six steel pipe piles with the inclination of 5:1 which are uniformly distributed on the circular track curve are sunken into the foundation in the pile driving way by a special pile driving boat; in the setting procedure of the construction operation platform, the construction of a bearing platform bottoming concrete layer is performed and the construction operation platform is erected on the bearing platform bottoming concrete layer; the concrete of the bearing platform bottoming concrete layer is performed by the steel pipe piles; the construction operation platform is square and comprises an upper bailey frame, a lower bailey frame, a steel platform panel and a safety fence. According to the construction process, the construction efficiency of the pile socketing into rock can be improved, the horizontal resistance and the anti-shifting capability of the rock-embedded piles can be effectively improved, and the requirements of engineering structure design and construction are met.