In this study, we developed a sensitive immunochromatographic analysis (ICA) of the Salmonella typhimurium bacterial pathogen contaminating food products and causing foodborne illness. The ICA of S. typhimurium was performed using Au@Pt nanozyme as a label ensuring both colorimetric detection and catalytic amplification of the analytical signal due to nanozyme peroxidase-mimic properties. The enhanced ICA enabled the detection of S. typhimurium cells with the visual limit of detection (LOD) of 2 × 102 CFU/mL, which outperformed the LOD in the ICA with traditional gold nanoparticles by two orders of magnitude. The assay duration was 15 min. The specificity of the developed assay was tested using cells from various Salmonella species as well as other foodborne pathogens; it was shown that the test system detected only S. typhimurium. The applicability of ICA for the determination of Salmonella in food was confirmed in several samples of milk with different fat content, as well as chicken meat. For these real samples, simple pretreatment procedures were proposed. Recoveries of Salmonella in foodstuffs were from 74.8 to 94.5%. Due to rapidity and sensitivity, the proposed test system is a promising tool for the point-of-care control of the Salmonella contamination of different food products on the whole farm-to-table chain.