This paper aims to measure the level of artificial intelligence (AI) support to project management (PM) in selected service sector activities. The exploratory factor analysis based on the extensive survey on AI in Slovenian companies along with the multi-criteria measurement with an emphasis on value functions and pairwise comparisons in the analytic hierarchy process, was employed. The synthesis and performance sensitivity analysis results show that in the service sector concerning all criteria, PM is with the level 0.276 best supported with AI in services of professional, scientific, and technical activities, which also stand out concerning the first-level goals, in using AI solutions in a project with the value 0.284, and in successful project implementation using AI with the value 0.301. Although the lowest level of AI support to PM, which is 0.220, is in services of wholesale and retail trade, and repair of motor vehicles and motorcycles, these services excel in adopting AI technologies in a project with a value of 0.277. Services of financial and insurance activities, with the level 0.257 second-ranked concerning all criteria have the highest value of 0.269 concerning the first-level goal of improving the work of project leaders using AI. The paper therefore contributes to the comparisons of AI support to PM in service sector activities. The results obtained can help AI development policy makers, which activities need to be supported and which ones should be set as an example. The presented methodological frame can serve to perform measurements and benchmarking in various research fields.