A mounting system for attaching a child support accessory on a stroller frame, comprising: the child support accessory, a mounting fixture adapted to be provided on the stroller frame and a connector (210, 304) provided on the child support accessory, the mounting fixture including a housing having an upper surface where is opened a slot, and the connector (210, 304) being adapted to releasibly lock with the mounting fixture in either of a first configuration for holding the child support accessory in a first position on the stroller frame facing forward, and a second configuration for holding the child support accessory in a second position on the stroller frame facing rearward, the housing of the mounting fixture includes a first catching structure disposed on a first side of the slot and a second catching structure disposed on a second side of the slot opposite to the first catching structure, the connector (210, 304) includes a first and a second abutting portion (220, 328, 224, 334) disposed on two opposite sides of the connector (210, 304), characterized in that the connector (210, 304) and the child support accessory either facing forward or rearward are adapted to be operable to rotate together relative to the housing about the first or second catching structure in a direction for inserting the connector (210, 304) into the slot until the connector (210, 304) is locked with the housing of the mounting fixture, such that the first and second abutting portions (220, 328, 224, 334) respectively engaging with the first and second catching structures (148A, 148B) for locking the child support accessory with the stroller frame in the first position, and the first and second abutting portions (220, 328, 224, 334) respectively engaging with the second and first catching structures (148B, 148A) for locking the child support accessory with the stroller frame in the second position. the child support accessory, a mounting fixture adapted to be provided on the stroller frame and a connector (210, 304) provided on the child support accessory, the mounting fixture including a housing having an upper surface where is opened a slot, and the connector (210, 304) being adapted to releasibly lock with the mounting fixture in either of a first configuration for holding the child support accessory in a first position on the stroller frame facing forward, and a second configuration for holding the child support accessory in a second position on the stroller frame facing rearward, the housing of the mounting fixture includes a first catching structure disposed on a first side of the slot and a second catching structure disposed on a second side of the slot opposite to the first catching structure, the connector (210, 304) includes a first and a second abutting portion (220, 328, 224, 334) disposed on two opposite sides of the connector (210, 304), characterized in that the connector (210, 304) and the child support accessory either facing forward or rearward are adapted to be operable to rotate together relative to the housing about the first or second catching structure in a direction for inserting the connector (210, 304) into the slot until the connector (210, 304) is locked with the housing of the mounting fixture, such that the first and second abutting portions (220, 328, 224, 334) respectively engaging with the first and second catching structures (148A, 148B) for locking the child support accessory with the stroller frame in the first position, and the first and second abutting portions (220, 328, 224, 334) respectively engaging with the second and first catching structures (148B, 148A) for locking the child support accessory with the stroller frame in the second position.