CD19‐directed CAR T‐cell therapy with brexucabtagene autoleucel (brexu‐cel) has substantially improved treatment outcomes for patients with relapsed/refractory mantle cell lymphoma (r/r MCL). Prolonged cytopenias and infections represent common and clinically relevant side effects. In this multicenter observational study, we describe cytopenias and infections in 103 r/r MCL patients receiving brexu‐cel. Furthermore, we report associations between the baseline CAR‐HEMATOTOX (HT) score and toxicity events, non‐relapse mortality (NRM), and progression‐free/overall survival (PFS/OS). At lymphodepletion, 56 patients were HTlow (score 0–1) while 47 patients were HThigh (score ≥2). The HThigh cohort exhibited prolonged neutropenia (median 14 vs. 6 days, p < .001) and an increased rate of severe infections (30% vs. 5%, p = .001). Overall, 1‐year NRM was 10.4%, primarily attributed to infections, and differed by baseline HT score (high vs. low: 17% vs. 4.6%, p = .04). HThigh patients experienced inferior 90‐day complete response rate (68% vs. 93%, p = .002), PFS (median 9 months vs. not‐reached, p < .0001), and OS (median 26 months vs. not‐reached, p < .0001). Multivariable analyses showed that high HT scores were independently associated with severe hematotoxicity, infections, and poor PFS/OS. In conclusion, infections and hematotoxicity are common after brexu‐cel and contribute to NRM. The baseline HT score identified patients at increased risk of poor treatment outcomes.