This　paper　is　concerned　with　the　stability　and　dynamics　of　a　weak　viscoelastic　system　with　nonlinear　time-varying　delay.　By　imposing　appropriate　assumptions　on　the　memory　and　sub-linear　delay　operator,　we　prove　the　global　well-posedness　and　stability　which　generates　a　gradient　system.　The　gradient　system　possesses　finite　fractal　dimensional　global　and　exponential　attractors　with　unstable　manifold　structure.　Moreover,　the　effect　and　balance　between　damping　and　time-varying　delay　are　also　presented.