Abstract Background Not many large‐sample investigations are available that compare the potency of the relationship of remnant cholesterol (RC) and other lipid parameters with diabetes and prediabetes. The goals of our study are to discover the relationship between RC and prediabetes, diabetes, and insulin resistance (IR) and to investigate RC, high‐density lipoprotein cholesterol (HDL‐C), non‐HDL‐C, triglycerides (TG), low‐density lipoprotein cholesterol (LDL‐C), total cholesterol (TC), TC/HDL‐C, LDL‐C/HDL‐C, and TG/HDL‐C, which are the lipid parameters that are most positively related to diabetes, prediabetes, and IR. Methods This research enrolled 36 684 subjects from China's eight provinces. We employed multiple logistic regression analysis for testing the relationship between lipid parameters and diabetes, prediabetes, and IR. Results After adjusting for potential confounders, and comparing the results with other lipid parameters, the positive relationship between RC and diabetes (odds ratio [OR] 1.417, 95% confidence interval [CI]: 1.345–1.492), prediabetes (OR 1.555, 95% CI: 1.438–1.628), and IR (OR 1.488, 95% CI: 1.404–1.577) was highest. RC was still related to diabetes, prediabetes, and IR even when TG <2.3 mmol/L (diabetes: OR 1.256, 95% CI: 1.135–1.390; prediabetes: OR 1.503, 95% CI: 1.342–1.684; and IR: OR 1.278, 95% CI: 1.140–1.433), LDL‐C <2.6 mmol/L (diabetes: OR 1.306, 95% CI: 1.203–1.418; prediabetes: OR 1.597, 95% CI: 1.418–1.798; and IR: OR 1.552, 95% CI: 1.416–1.701), or HDL‐C ≥1 mmol/L (diabetes: OR 1.456, 95% CI: 1.366–1.550; prediabetes: OR 1.553, 95% CI: 1.421–1.697; and IR: OR 1.490, 95% CI: 1.389–1.598). Conclusion RC is more positively related to diabetes, prediabetes, and IR than conventional lipids and lipid ratios in the general population, the relationships between RC and diabetes, prediabetes, and IR are stable, even if HDL‐C, LDL‐C, or TG are at appropriate levels. image