Chirp radars are vulnerable to various types of deceptive jamming for example, smeared spectrum (SMSP) jamming that generates multiple false targets, which lead and lag the true target. Unfortunately, the radar system cannot distinguish the true target from the false ones because the jamming signal looks like the true target echo. A new anti-jamming technique to suppress false targets and identify the true target easily is introduced. The proposed technique benefits from the fact that SMSP jamming signal has a different frequency modulation slope from that of the radar signal. Therefore, the differences between SMSP jamming signal and the true target echo can be identified. The efficiency of the proposed technique is confirmed by theoretical analysis and simulation experiments. This is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.