Since China's implementation of the Confucius Institute (CI) project in 2004, most academic works have been written on its objectives, nature, features, development, problems and challenges, especially in terms of soft power projection. Though some of them could unravel the tensions and paradoxes in the CI project, there is a paucity of in-depth and focused analysis on the related issues with a more systematic framework. Utilising Tellis et al.'s tripartite taxonomy approach to power--resources, strategies and outcomes--and integrating it with Nye's tripartite approach to exercising power--coercion, inducement and attraction--this paper aims to fill this research gap. The findings can shed light on the tensions and paradoxes in China's development of soft power by providing a more systematic and integrated framework for analysing the dilemmas and predicaments in the exercise of its power strategies in the global age.