A cutting device includes a platen, a mounting portion, a first movement mechanism, a second movement mechanism, a detector, a processor, and a memory. The memory is configured to store computer-readable instructions that, when executed by the processor, instruct the processor to perform processes. The processes include acquiring cutting data, acquiring a contact position output by the detector when the cutting blade comes into contact with the holding member, and controlling the first movement mechanism in accordance with the cutting data to move the mounting portion and the holding member to a cutting start position. The processes include controlling the second movement mechanism, at the cutting start position, to move the mounting portion in the third direction to a cutting position set on the basis of the contact position, and controlling the first movement mechanism in accordance with the acquired cutting data to perform cutting processing.