A stabilization device for a medical cart comprising a carrier floor frame, the stabilization device comprising: - ground stabilizing feet which are configured to support the carrier floor frame and which are convertible between a deployed configuration in which the ground stabilizing feet are bearing on the ground, in a stable manner, so as to support, together, all or part of what the carrier floor frame supports, and a folded configuration in which the ground stabilizing feet are off the ground so as to ensure an at least partial retraction, - a control mechanism which can be displaced between a first position and a second position, in response to at least one translational movement or one rotational movement, and - a control transmission mechanism which comprises: - a connection assembly and - at least one control transmission element which has a first portion of said control transmission element kinematically connected, in a direct or indirect manner, to the control mechanism, and a second portion of said control transmission element kinematically connected, in an articulated manner, to the ground stabilizing feet via the connection assembly, the control transmission element being rotatably mounted about a first axis of rotation so as to be driven in rotation in a first direction of rotation and in a second direction of rotation opposite to the first direction of rotation, said connection assembly comprising, - at least a first articulation, with at least one degree of freedom, which is directly connected to the second portion of said control transmission element and to at least a first ground stabilizing foot, - at least a second articulation, with at least one degree of freedom, which is directly connected to at least a second ground stabilizing foot, and - a connection structure which is connected between the first articulation and the second articulation, wherein, the control transmission mechanism is configured so that the actuation of the control mechanism in the first configuration or in the second configuration drives in rotation the control transmission element about the first axis of rotation, and allows the ground stabilizing feet to alternate between the deployed configuration and the folded configuration. - ground stabilizing feet which are configured to support the carrier floor frame and which are convertible between a deployed configuration in which the ground stabilizing feet are bearing on the ground, in a stable manner, so as to support, together, all or part of what the carrier floor frame supports, and a folded configuration in which the ground stabilizing feet are off the ground so as to ensure an at least partial retraction, - a control mechanism which can be displaced between a first position and a second position, in response to at least one translational movement or one rotational movement, and - a control transmission mechanism which comprises: - a connection assembly and - at least one control transmission element which has a first portion of said control transmission element kinematically connected, in a direct or indirect manner, to the control mechanism, and a second portion of said control transmission element kinematically connected, in an articulated manner, to the ground stabilizing feet via the connection assembly, the control transmission element being rotatably mounted about a first axis of rotation so as to be driven in rotation in a first direction of rotation and in a second direction of rotation opposite to the first direction of rotation, - a connection assembly and - at least one control transmission element which has a first portion of said control transmission element kinematically connected, in a direct or indirect manner, to the control mechanism, and a second portion of said control transmission element kinematically connected, in an articulated manner, to the ground stabilizing feet via the connection assembly, the control transmission element being rotatably mounted about a first axis of rotation so as to be driven in rotation in a first direction of rotation and in a second direction of rotation opposite to the first direction of rotation, said connection assembly comprising, - at least a first articulation, with at least one degree of freedom, which is directly connected to the second portion of said control transmission element and to at least a first ground stabilizing foot, - at least a second articulation, with at least one degree of freedom, which is directly connected to at least a second ground stabilizing foot, and - a connection structure which is connected between the first articulation and the second articulation, - at least a first articulation, with at least one degree of freedom, which is directly connected to the second portion of said control transmission element and to at least a first ground stabilizing foot, - at least a second articulation, with at least one degree of freedom, which is directly connected to at least a second ground stabilizing foot, and - a connection structure which is connected between the first articulation and the second articulation, wherein, the control transmission mechanism is configured so that the actuation of the control mechanism in the first configuration or in the second configuration drives in rotation the control transmission element about the first axis of rotation, and allows the ground stabilizing feet to alternate between the deployed configuration and the folded configuration.