This article investigates the global bounded consensus problem of networked multi-agent systems exhibiting nonlinear, non-identical node dynamics with communication time-delays. Globally bounded consensus conditions for both delay-independent and delay-dependent conditions based on the Lypunov-Krasovskii functional method are derived. The proposed consensus criteria ensures that all agents eventually move along the desired trajectories in the sense of boundedness. The proposed consensus criteria generalises the case of identical agent dynamics to the case of non-identical agent dynamics, and many related results in this area can be viewed as special cases of the above results. We finally demonstrate the effectiveness of the theoretical results by means of a numerical simulation.