Arrays of single phase pure and Pr-Cr co-doped BiFeO_3 (BFO) nanotubes (NTs) with compositions BiFeO_3 and Bi_(0.9)Pr_(0.1)Fe_(0.9)Cr_(0.1)O_3 have been synthesized using Anodic Aluminium Oxide (AAO) template (pore diameter ~250 nm) by wet chemical liquid phase deposition technique. All the NTs show ferromagnetic nature at room temperature (RT). Better magnetic properties are observed in the co-doped BFO NTs with the value of saturation magnetization (M_s) ~ 49 memu/g, magnetization at the remanence (M_r) ~12 memu/g and coercive field (H_c) ~103 Oe. Increase of ferromagnetic signature in the co-doped BFO NTs is believed to be due to the collapse of the space-modulated spin structure. Significant increase in the dielectric characteristics in co-doped BFO NTs suggests lowering of leakage current due to the reduction of the oxygen vacancies in the structure. Strong Magnetodielectric effect (MD), expressed by [ε_Γ(H)-ε_Γ(O)]/ε_Γ(0) is observed in doped BFO NTs， where the increase of the dielectric constant is noticeable with the increase in the applied magnetic field. The co- doped BFO NTs show noticeable increase in MD effect at a lower field (1-2 kOe).
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