The present invention is directed to novel cyclic amine compounds represented by the formula [I]: wherein R1 represents, but is not limited to, a hydroxyl, a halogen atom, a cyano group, a nitro group, a formyl group, a C1-6 alkyl group, a C2-6 alkenyl group, a C2-6 alkynyl group, a C1-6 haloalkyl group, a C1-6 haloalkenyl group, a C1-6 alkylcarbonyl group, among other substituents; R2 represents a halogen atom, a nitro group, a C1-6 alkyl group, a C1-6 alkoxy group, a C1-6 haloalkyl group, a five or six membered heterocyclic group having at least one hetero atom selected from an oxygen atom, a nitrogen atom, and a sulfur atom, k represents 0 or an integer of 1 to 4; R3, R31, R4, R41, R5, R51, and R7 each independently represents a hydrogen atom, a C1-6 alkyl group, a C1-6 alkoxycarbonyl group, or a C1-6 alkoxy group, and, both R3 and R4, may be bound together to form a saturated ring, X represents an oxygen atom, a sulfur atom, a sulfinyl group, or a sulfonyl group, a salt or an N-oxide of the chemical compound represented by formula (I) and pest control agents containing the chemical compound.