A convertible rocking chair can be converted to use as a rocking-bed, a chair and a rocking-horse. The convertible rocking chair has an arched base rack and a seat frame. The arched base rack has a curved downside for rocking and rolling back and forth against ground. The seat frame includes a left-side rack and a right-side rack for stretching a fabric cover therebetween to form an accommodating space. The left-side rack and right-side rack can be locked in a first position when converted to the rocking-bed or chair, and rotatable to close together in a second position for engaging with a seat board so as to convert to the rocking-horse. The seat frame may pivot to the arched base rack and adjust inclination by a lifting rack when being converted to a chair.