As a typical chemical industrial park, the coal to hydrogen ammonia synthesis park relies on fossil fuels such as coal, resulting in huge carbon emissions and difficulties in green and low-carbon transformation. As a clean and nonpolluting hydrogen production method, hydrogen production by water electrolysis has been developing quickly in recent years,which provides a probability for low-carbon operation of hydrogen to ammonia chemical industry parks. In this paper, a low-carbon operation framework of the energy distribution network in the synthetic ammonia park is proposed. Taking the traditional coal to hydrogen ammonia synthesis park as an example, the roof photovoltaic, electric energy storage, and hydrogen system are introduced to construct the coal-electricity-hydrogen-heat coupling energy distribution network in the chemical industry park based on coal to hydrogen and hydrogen to ammonia equipment, the original power system, and heating system, so as to realize the multi-energy complementary operation and reduce the carbon emission. Then, a model including hydrogen source, hydrogen load, energy storage system, and heat source is established. The economic dispatch model of the energy distribution network in the chemical industrial park is developed and solved to minimize the operation cost and carbon emission of the park and meet the operational constraints of the park. Finally, the case study shows that the proposed method can effectively reduce the operation cost and carbon emission of the park.