A suspension structure for an outboard motor and an outboard motor includes a clamp bracket, a main body support having a lowest position in a tilt-down state among portions supporting an outboard motor main body except for the clamp bracket, and a coupling fixed to the main body support and supported turnably about a tilt shaft at a first position and a second position in an axial direction of the tilt shaft. The main body support is between the first position and the second position and parallel to the axial direction of the tilt shaft. In the tilt-down state, the main body support is lower than the first position and the second position, and an imaginary triangle is defined by the first position, the second position, and the main body support as vertices when viewed from a rear.