Background Acute pancreatitis (AP) is a condition with various etiological factors, marked by the sudden onset of inflammation in the pancreatic tissue. Predicting the severity and potential mortality of AP involves analyzing clinical data alongside laboratory tests and imaging. Among several grading methods with strong predictive capabilities for illness severity and mortality, the Bedside Index for Severity in Acute Pancreatitis (BISAP) score is notable. This study aims to explore the potential role of laboratory markers, specifically red cell distribution width (RDW), RDW/platelet (PLT) ratio, and mean platelet volume (MPV), in predicting disease severity, with patients being stratified according to the BISAP scoring system. Materials and methods This research included 161 patients hospitalized at Cantonal Hospital Zenica in Zenica, Bosnia and Herzegovina, with a diagnosis of AP. The BISAP score was determined based on laboratory and radiological analyses. This score was used to evaluate potential correlations between laboratory findings such as RDW, RDW/PLT ratio, and MPV. Results The age range was significantly higher in patients with BISAP scores ≥3 (68 years, 64-76) compared to those with BISAP scores <3 (59.5 years, 42.75-69) (p = 0.000). RDW values were also significantly higher in patients with BISAP scores ≥3 (15.6%, 14-16.9) compared to those with BISAP scores <3 (13.5%, 13-14.1) (p = 0.000). Hospital stay duration was significantly longer for patients with BISAP scores ≥3 (9 days, 6-11) compared to those with BISAP scores <3 (5 days, 5-7) (p = 0.000). Additionally, the RDW/PLT ratio was significantly lower in patients with BISAP scores <3 (0.063 ± 0.02) compared to those with BISAP scores ≥3 (0.09 ± 0.059) (p = 0.012). Conclusion Our results indicate a significant difference in RDW/PLT ratios between patient severity groups based on BISAP scores (scores <3 vs. ≥3). This suggests that the RDW/PLT ratio may serve as a useful predictor for assessing the severity of AP. However, further research is needed to explore the full potential of the RDW/PLT ratio in evaluating AP patients.