This document discusses calculations of atomic data for the titanium ion Ti XIX. It presents results for energy levels, radiative rates, and effective collision strengths for transitions among the lowest 98 levels of Ti XIX. Calculations were performed using the fully relativistic GRASP code and Dirac atomic R-matrix code DARC. Results for energy levels agree well with available measurements within 0.1 Ryd, except for three levels. Radiative rates and effective collision strengths are calculated up to temperatures of 107.7 K for applications in plasma modeling.