The naphthyridinyl hydrazine derivatives as potent peripheral analgesic agents are (E)-2-(substituted benzylidene)-1-(2,7-dialkyl-1,8-naphthyridinyl) hydrazines that provide effective peripheral analgesic activity, as demonstrated using the mouse writhing test. The new target compounds include at least one compound that demonstrates higher potency in providing analgesic relief in mice (Protection (%)=81.44) compared to the reference drug acetyl salicylic acid (Protection (%)=78.47). These results demonstrated that the target compound exerts acute analgesic action, suggesting that it may represent an alternative in the development of new therapeutic strategies. Preferably, the (E)-2-(substituted benzylidene)-1-(2,7-dialkyl naphthyridinyl) hydrazine has the formula: wherein R1 and R2 are alkyl, R3 is hydrogen, and R4 is NO2.