A marine vessel propulsion device includes an engine arranged to generate a driving force by
combustion of a fuel by an ignition unit, a thrust
generating unit arranged to be driven by the driving force of the engine to generate thrust
underwater, a shift mechanism unit arranged to switch between a transmitting state of transmitting the driving force of the engine to the thrust
generating unit and a
cut-off state of
cutting off the driving force of the engine from the thrust
generating unit, a shift drive unit arranged to drive the shift mechanism unit, and a
control unit arranged to electrically control the shift drive unit based on a position of a shift operational unit that is arranged to be operated by a user to perform a shifting operation to a first shift position corresponding to the transmitting state, and a second shift position corresponding to the
cut-off state. When changing from the first shift position to the second shift position, the
control unit temporarily lowers an engine speed by starting misfire control of the ignition unit. After the start of the misfire control, the
control unit controls the shift drive unit such that the shift mechanism unit starts the switching from the transmitting state to the
cut-off state after a
delay time period corresponding to a time from the start of misfire control to a point in time when the ignition unit actually starts to misfire.