Relationship between physicochemical properties and anesthetic activity was examined with 34 kinds of compounds related to N, N-diethyl-2-(2-methoxy-4-allylphenoxy)-acetamide. Minimal anesthetic concentration and saturation concentration of these compounds at 25° against tropical fish, guppy (Lebistes reticulates), were determined, as well as Ferguson's thermodynamic activity. Distribution ratio of these compounds between water and oleyl alcohol was measured by the method of Meyer and Hemmi, and concentration of the compounds in oleyl alcohol at anesthetic concentration was calculated. Thermodynamic activity was calculated from the surface activity of the saturated solution and effective anesthetic solution, according to the method of Feursteine. It was thereby assumed that N, N-diethyl-2-(2-methoxy-4-allylphenoxy)-acetamide and N, N-diethyl-2-(2-methoxy-4-propylphenoxy) acetamide had the same action mechanism as ether and chloroform.