A Bi₂Sr₂CaCu₂O_8+δ cross-whiskers junction has been successfully discovered as a novel intrinsic Josephson junction without using any technique for micro-fabrication. Two Bi₂Sr₂CaCu₂O_8+δ whisker crystals were placed crosswise on a MgO substrate and heated at 850 °C for 30 min. They were electrically connected at their c-planes. The measurement terminals were made at the four ends of the whiskers. The I-V characteristics of the cross-whiskers junction at 5 K were found to show a clear multiple-branch structure with a spacing of approximately 15 mV, which is a feature of an intrinsic Josephson junction. The critical current density J_C was estimated to be 1170 A cm^-2. The branch structure was strongly suppressed by a magnetic field above 1 kOe.