Anisotropic magnetic and calorimetric properties of the incommensurate modulated Bi2Sr2PrCu2O8+δ single crystals have been reported. No Pr magnetic ordering was observed down to 0.5 K in specific heat data and in anisotropic magnetic susceptibility measurements for magnetic field applied along the single crystal orthorhombic ab-plane or c-axis. In comparison, isostructural Gd polycrystalline sample Bi2Sr2GdCu2O8+δexhibits an antiferromagnetic order with Néel temperature TN(Gd) of 1.7 K. The Bi2Sr2PrCu2O8+δ compound represents the first example of no Pr anomaly observed for all two-CuO2-layers Pr cuprates MmA2PrCu2Oy (M = Hg, Pb, Tl, Bi, Nb, Cu; A = Ba, Sr; m = 1, 2, 3). The lack of Pr ordering is believed to be due to a very weak quasi-2D Pr-0-Pr superexchange interaction caused by the strong structural modulation.