A glove box opening and closing apparatus comprising: a knob rotatably coupled to a glove box and configured to be disposed at one of a first position and a second position, wherein the knob includes: a first housing coupled to the glove box; a knob body disposed in the first housing; and a rotating shaft which connects the first housing and the knob body and is a rotation center of the knob body, wherein the knob body is configured to rotate about the rotating shaft; a rotator configured to rotate in conjunction with rotation of the knob; and at least one rod configured to move in conjunction with the rotation of the rotator, wherein the rod includes a protruding frame, wherein the rotator includes: a fixing block; a rotary unit body, wherein the rotator unit body is rotatably coupled to the fixing block, wherein the rotary unit body includes a rotating part and a pushing part, and wherein the rotary unit body is configured to rotate about the rotation center of the fixing block; a link in contact with the knob, wherein the protruding frame is in contact with an end portion of the pushing part of the rotary unit body, characterized in that an interlocking surface is formed on the link, and a contact area of the interlocking surface change the more the knob moves from the first position to the second position. a knob rotatably coupled to a glove box and configured to be disposed at one of a first position and a second position, wherein the knob includes: a first housing coupled to the glove box; a knob body disposed in the first housing; and a rotating shaft which connects the first housing and the knob body and is a rotation center of the knob body, wherein the knob body is configured to rotate about the rotating shaft; a first housing coupled to the glove box; a knob body disposed in the first housing; and a rotating shaft which connects the first housing and the knob body and is a rotation center of the knob body, wherein the knob body is configured to rotate about the rotating shaft; a rotator configured to rotate in conjunction with rotation of the knob; and at least one rod configured to move in conjunction with the rotation of the rotator, wherein the rod includes a protruding frame, wherein the rotator includes: a fixing block; a rotary unit body, wherein the rotator unit body is rotatably coupled to the fixing block, wherein the rotary unit body includes a rotating part and a pushing part, and wherein the rotary unit body is configured to rotate about the rotation center of the fixing block; a link in contact with the knob, wherein the protruding frame is in contact with an end portion of the pushing part of the rotary unit body, characterized in that an interlocking surface is formed on the link, and a contact area of the interlocking surface change the more the knob moves from the first position to the second position. a fixing block; a rotary unit body, wherein the rotator unit body is rotatably coupled to the fixing block, wherein the rotary unit body includes a rotating part and a pushing part, and wherein the rotary unit body is configured to rotate about the rotation center of the fixing block; a link in contact with the knob, wherein the protruding frame is in contact with an end portion of the pushing part of the rotary unit body, characterized in that an interlocking surface is formed on the link, and a contact area of the interlocking surface change the more the knob moves from the first position to the second position.