Since the emergence of digital revolution, many governments have sought to use the internet for the benefits of communication and information easiness to present public services. Due to citizen's consciousness of internet, the online public services have increased rapidly. Allowing citizens to entrance governmental services, information and participate in governmental decision making process, called the electronic government. In recent years, various e-government websites have increased. Beside the basic lines for e-government websites design process, the evaluation approach also very important for increasing sites quality. The success of these sites depends largely on their quality, security and accessibility. This research provides a multi-criteria group decision making (MCGDM) technique rely on neutrosophic VIKOR method, for evaluating e-government websites. To represent preferences of decision makers about criteria significance weights and performance assessments, triangular neutrosophic numbers are used for representing linguistic variables. In this research, two algorithms are developed based on a neutrosophic linguistic approach. Depending on two algorithms and the VIKOR method, a general framework is proposed. A case study is presented to validate the proposed framework, and a comparative study between two algorithms is illustrated with detail.