(1) The aim of the study was to reveal what differences in patients’ lipidogram, oxidative stress, and echocardiographic readings are reflected by SII, SIRI, and MHR of the patients with chronic heart failure (CHF). (2) A total of 220 patients diagnosed with CHF were investigated. They were stratified into groups according to averages of SII (neutrophil * platelet/lymphocyte count), SII ≤ 684.757 (n = 115), and SII > 684.757 (n = 62); SIRI (neutrophil * monocyte/lymphocyte count), SIRI ≤ 2.098 (n = 110), SIRI > 2.098 (n = 67); and monocyte count/high-density lipoprotein cholesterol concentration (MHR), MHR ≤ 0.5854 (n = 54), and MHR > 0.5854 (n = 64) values. The analysis of transthoracic echocardiogram, complete blood count test, C reactive protein, lipidogram, oxHDL, nitrotirozine, ditirozine, TAC, protein carbonyl, catalase, and MDA were performed; (3) Between the groups, according to SII and SIRI, there were no statistically significant differences in lipidogram, oxidative stress, and echocardiography readings. In those with higher MHR, HDL concentration was lower (0.91 (0.44; 1.45) and 1.27 (0.72; 2.69), p < 0.001). In those with higher MHR, LVEDD was higher (58.12 (10.03) and 51.53 (10.34), p < 0.001), LVMM was higher (274.92 (92.24) and 233.07 (74.84), p = 0.010), MMI was higher (130.88 (34.28; 227.97) and 114.27 (70.34; 270.00), p = 0.022), and LVEF was lower (28.5 (10.0; 55.0) and 40.0 (20.0; 55.0), p < 0.001). MHR correlated with MMI (r = 0.287, p = 0.028) and LVMI (r = 0.287, p = 0.028). Nitrotyrosine concentration was higher in those with higher MHR (4.52 (1.12; 93.58) and 3.52 (1.74; 28.32), p = 0.022). MHR correlated with protein carbonyl (r = 0.321, p = 0.013), nitrotyrosine concentration (r = 0.356, p = 0.006). SIRI correlated with carbonyl protein concentration (r = 0.321, p = 0.013); (4) 1. In CHF patients, MHR could reflect the worsening of patients’ conditions related to oxidative stress. 2. The possibility to use SII and SIRI still needs to be confirmed.