Abstract: Carbon emission during construction is an important source of environmental pollution. In this paper, combined with the construction management problem under the uncertainty of the construction time window in engineering construction, considering the construction time, owner satisfaction, resource limit and carbon emission, a multi-objective joint optimization model of the prefabricated building construction process is established, and a MO-LPHGS-SDE algorithm is proposed by combining the shift-based density estimation method with learning and predation operation. The performance of MO-LPHGS-SDE algorithm is verified by comparing the DTLZ test function with PSO algorithm, GA algorithm and SA algorithm. Finally, the feasibility and superiority of the model and algorithm are verified by taking the survey data of a prefabricated building construction site as an example.