The Covid-19 pandemic has caused great losses to the Vietnamese economy and the world. All economic, social, agricultural, forestry, and industrial activities must stop. Along with the Covid-19 pandemic situation, trading companies, shops, factories, hotel services, motels, etc. cannot directly sign business contracts, recruit, rent, buy and sell. Besides, in addition to the factors affected by Covid-19, geographical distance is also a problem that makes it difficult to sign contracts. Therefore, objective factors create a large amount of demand for an online method of concluding contracts. This study uses a 2-layer research model (PLS-SEM Neural network) to analyze the survey results of factors affecting the intention to continuously use online contracts and satisfaction, factors related to importance because service expectations are useful, and satisfaction expectations when using services using information technology. This study, grounded in the Technology Acceptance Model (TAM) theory, aims to employ an artificial neural network (ANN) method for thorough analysis, resulting in more precise outcomes compared to the SEM model. The research unfolds in a series of steps: Firstly, the PLS-SEM model assesses the factors influencing the intention to utilize the facial gender recognition system. Subsequently, the ANN ranks the impact factors of key predictors derived important from the PLS-SEM model. Moreover, the ANN performs both linear and non-linear relational modeling with remarkable predictive accuracy when contrasted with the SEM model. Additionally, the study employs Criti- cal Performance Map Analysis (IPMA) to meticulously evaluate the outcomes, particularly focusing on the pivotal performance of the factors. The analysis involved 255 questionnaire samples and utilized Partially Squared Structural Equation Modeling (PLS-SEM). The analysis results show that the perceived usefulness factor has a strong correlation with the intention to continuously use the online contracting service of the user. The expectation factor has a beneficial effect, so satisfaction and the information technology model also have a beneficial impact on user satisfaction and raise the expectation of continuous use of online contracts. However, service quality, information security, and information quality are still not highly trusted by users. This study uses the PLS-SEM model and analyzes and evaluates the factors affecting the signing of civil contracts online.