Inhibition of soluble epoxide hydrolase (sEH) is a promising therapeutic strategy for treating neuropathic pain. These inhibitors effectively reduce diabetic neuropathic pain and inflammation induced by Freund’s adjuvant which makes them a suitable alternative to traditional opioids. This study showcased the notable analgesic effects of compound AMHDU (1,1′-(hexane-1,6-diyl)bis(3-((adamantan-1-yl)methyl)urea)) in both inflammatory and diabetic neuropathy models. While lacking anti-inflammatory properties in a paw edema model, AMHDU is comparable to celecoxib as an analgesic in 30 mg/kg dose administrated by intraperitoneal injection. In a diabetic tactile allodynia model, AMHDU showed a prominent analgesic activity in 10 mg/kg intraperitoneal dose (p < 0.05). The effect is comparable to that of gabapentin, but without the risk of dependence due to a different mechanism of action. Low acute oral toxicity (>2000 mg/kg) and a high therapeutic index makes AMHDU a promising candidate for further structure optimization and preclinical evaluation.