Artificial intelligence and other computational models have permeated virtually all human activities, improving operational values of professional actions. The legal system is not left, as AI has been integrated into the legal system of many countries considering its enormous benefits in legal reasoning, legal decision making and overall judicial proceedings. This study expounded on the Saudi Arabian legal system, focusing on the development and integration of computational models of legal reasoning and decision-making. The focus is to explore the acceptability of AI in the Saudi Arabian legal system, the ethical concerns, and the factors that can inform the acceptability of the computational models. A total of 137 stakeholders participated in the study, including judges, attorneys, legal researchers and AI enthusiasts. Using quantitative study approach and cross-sectional design, data was collected through questionnaire constructed with the study questions. Analysis was conducted using relevant statistical tools. The results indicate that 72.27% of the study population accepted that artificial intelligence (AI)-enabled tools have the potential to enhance the decision-making process of judges by providing them with increased information and promoting objectivity in the resolution of intricate legal cases within the context of Saudi Arabia. However, about 81.76% of the stakeholders affirm that the implementation of artificial intelligence (AI) within the legal domain prompts inquiries regarding the individuals or entities accountable for errors or biases present in AI-generated legal determinations. There is the question of, if there are mistakes in legal decisions and legal reasonings processed by computational models, who should be held responsible for the errors. The results further indicate that 97.08% of the stakeholders that participated in the survey agreed that the degree of transparency and comprehensibility exhibited by AI algorithms plays a crucial role in influencing stakeholders' willingness to embrace AI[1]driven solutions within the legal field. It is thus concluded that computational models in legal reasoning and legal decision[1]making is subject to stakeholders’ acceptability of the efficiency of the system