The invention relates to a horizontal and complex direction displacement adjusting and compensating device and mechanism. The horizontal and complex direction displacement adjusting and compensating device comprise a first supporting part and a second supporting part; the horizontal and complex direction displacement adjusting and compensating device is characterized in that relative axial movement can occur between the first supporting part and the second supporting part; and a space for accommodating a filler is formed in the first supporting part and an opening is formed in the first supporting part, the opening communicates with the space formed after the axial movement, and the filler can pass through the opening in the first supporting part to enter the space.