[en] Thin films of pure single Tl₁Ba₂Ca₂Cu₃O_x (1223) phase and Tl₂Ba₂Ca₂Cu₃O_x (2223) phase have been prepared by laser ablation and post-annealing. In particular, when both films were annealed at a low temperature and for a long time, they had a highly c-axis-oriented structure and a high transport J_c of > 1 x10⁵ A cm^-2 at 77 K in zero magnetic field. Magnetic and transport measurements were performed for both films at different temperatures. When the magnetic field was applied perpendicular to the a-b plane (a-b plane perpendicular B), the intragrain J_c from the magnetization measurements for the Tl-(1223) thin film was clearly larger than for the Tl-(2223) thin film. Moreover, in the a - b plane perpendicular B, the transport J_c of the Tl-(1223) thin film was higher than that of the Tl-(2223) thin film at high temperature (>40 K). The magnetic field dependence of the global pinning force density (F_p = J_c x B) of both films could be successfully explained by Kramer's scaling law, F_p/F_p^max = 3.5 (B/B_c2*)^1/2 (1-B/B_c2*), where B_c2* was the irreversibility magnetic field. These data indicated that the in-field behaviour of the Tl-(1223) system was superior to that of the Tl-(2223) system. (author)