An 1,3,4-oxadiazole amide derivative compound represented by the following formula I, a stereoisomer thereof or a pharmaceutically acceptable salt thereof: wherein L 1 or L 3 are each independently a bond or - (C 1 -C 2 alkylene)-; L 2 is - (C 1 -C 2 alkylene); Z 1 to Z 4 are each independently N or CR Z, wherein three or more of Z 1 to Z 4 may not be simultaneously N, and R Z is -H or -X; R 1 is -CX 2 H or -CX 3; R 2 is - (C 1 -C 4 alkyl), - (C 1 -C 4 alkyl) -0 (C 1 -C 4 alkyl), - (C 1 -C 4 alkyl)-C(=O)-O(C 1 -C 4 alkyl), - (C 3 -C 6 cycloalkyl), -aryl,-heteroaryl, wherein at least one H of the - (C 3 -C 6 cycloalkyl), -aryl or-heteroaryl may be substituted with -X, -OH, - (C 1 -C 4 alkyl),-O(C 1 -C 4 alkyl), -C(=O)-(C 1 -C 4 alkyl), -C(=O)-0(C 1 -C 4 alkyl) or-CF 3, Y is -N-, -0- or -S(=O) 2 -, when Y is -N-, R 4 and R 8 are each independently -H, - (C 1 -C 4 alkyl), -C(=O)-(C 1 -C 4 alkyl), -C(=O)-(C 3 -C 6 cycloalkyl), -C(=O)-0(C 1 -C 4 alkyl), -C (=0) -CF 3, -S(=O) 2 -(C 1 -C 4 alkyl), - (C 2 -C 6 heterocycloalkyl), benzyl or amine protecting group, wherein the - (C 2 -C 6 heterocycloalkyl) may contain an N, O or S atom in the ring, and when Y is -0- or -S(=O) 2 -, R 4 and R 8 are null, R 5 to R 8 are each independently -H, - (C 1 -C 4 alkyl), -OH,-CH 2 OH or -C(=O)-NH 2, and a to c are each independently an integer of 1, 2 or 3; R 3 is - (C 1 -C 4 alkyl), - (C 1 -C 4 alkyl) -0 (C 1 -C 4 alkyl), - (C 1 -C 4 alkyl) -C (=0) -0 (C 1 -C 4 alkyl), - (C 3 -C 6 cycloalkyl), -aryl,-heteroaryl, or wherein at least one H of the -(C 3 -C 6 cycloalkyl), -aryl or -heteroaryl may be each independently substituted with -X, -OH, - (C 1 -C 4 alkyl), -O(C 1 -C 4 alkyl), -C(=O)-(C 1 -C 4 alkyl), -C(=O)-0(C 1 -C 4 alkyl) or -CF 3, and R 4, R 5, R 6, Y, a, b, R 1, L 1, Z 1, Z 2, Z 3 and Z 4 are as defined above; and X is F, Cl, Br or I. wherein L 1 or L 3 are each independently a bond or - (C 1 -C 2 alkylene)-; L 2 is - (C 1 -C 2 alkylene); Z 1 to Z 4 are each independently N or CR Z, wherein three or more of Z 1 to Z 4 may not be simultaneously N, and R Z is -H or -X; R 1 is -CX 2 H or -CX 3; R 2 is - (C 1 -C 4 alkyl), - (C 1 -C 4 alkyl) -0 (C 1 -C 4 alkyl), - (C 1 -C 4 alkyl)-C(=O)-O(C 1 -C 4 alkyl), - (C 3 -C 6 cycloalkyl), -aryl,-heteroaryl, wherein at least one H of the - (C 3 -C 6 cycloalkyl), -aryl or-heteroaryl may be substituted with -X, -OH, - (C 1 -C 4 alkyl),-O(C 1 -C 4 alkyl), -C(=O)-(C 1 -C 4 alkyl), -C(=O)-0(C 1 -C 4 alkyl) or-CF 3, Y is -N-, -0- or -S(=O) 2 -, when Y is -N-, R 4 and R 8 are each independently -H, - (C 1 -C 4 alkyl), -C(=O)-(C 1 -C 4 alkyl), -C(=O)-(C 3 -C 6 cycloalkyl), -C(=O)-0(C 1 -C 4 alkyl), -C (=0) -CF 3, -S(=O) 2 -(C 1 -C 4 alkyl), - (C 2 -C 6 heterocycloalkyl), benzyl or amine protecting group, wherein the - (C 2 -C 6 heterocycloalkyl) may contain an N, O or S atom in the ring, and when Y is -0- or -S(=O) 2 -, R 4 and R 8 are null, R 5 to R 8 are each independently -H, - (C 1 -C 4 alkyl), -OH,-CH 2 OH or -C(=O)-NH 2, and a to c are each independently an integer of 1, 2 or 3; R 3 is - (C 1 -C 4 alkyl), - (C 1 -C 4 alkyl) -0 (C 1 -C 4 alkyl), - (C 1 -C 4 alkyl) -C (=0) -0 (C 1 -C 4 alkyl), - (C 3 -C 6 cycloalkyl), -aryl,-heteroaryl, or wherein at least one H of the -(C 3 -C 6 cycloalkyl), -aryl or -heteroaryl may be each independently substituted with -X, -OH, - (C 1 -C 4 alkyl), -O(C 1 -C 4 alkyl), -C(=O)-(C 1 -C 4 alkyl), -C(=O)-0(C 1 -C 4 alkyl) or -CF 3, and R 4, R 5, R 6, Y, a, b, R 1, L 1, Z 1, Z 2, Z 3 and Z 4 are as defined above; and X is F, Cl, Br or I.