In this work, a BiFeO$_3$ nanoparticle was synthesized by sol–gel method followed by calcination at different temperature 300, 400 and 500 $^\\\\circ$C. Effect of calcination temperature on the structure, morphology, electrical and magnetic properties was studied by using x–ray diffraction, scanning electron microscopy, electrical conductivity measurements and vibrating sample magnetometer, respectively. Structural analysis revealed a typical rhombohedral phase of the prepared BiFeO$_3$ nanoparticles. Scanning electron microscope investigations show that the materials are mesoporous nature with average particle size ~ (52) nm. The magnetic measurement shows significant enhancement of the ferromagnetism with the increasing of the calcination temperature which may be mainly attributed to the crystallinity improvement and the change of the oxygen vacancies content. The DC electrical resistivity measurement was carried out by the two–probe method. The temperature dependence of resistivity behavior shows typical semiconductor features for the synthesized nanoparticles.