A manufacturing method for a carbon heat source having an ignition end, the ignition end formed with a plurality of respectively crossing grooves, the method comprising: a step A of forming a plurality of grooves at the ignition end of a plurality of carbon members that extend along a longitudinal axis direction from the ignition end toward a non-ignition end and that have a pillar-like profile, wherein the step A includes: a step A1 of forming a first groove along a first predetermined direction by bringing the ignition end of each of the plurality of carbon members into contact with a first groove cutting member in a state where the plurality of carbon members are aligned in one line along the first predetermined direction while transporting the plurality of carbon members along the first predetermined direction; a step A2 of changing, subsequent to the step A1 being performed, an orientation of the plurality of carbon members so that the first groove formed in the plurality of carbon members crosses relative to the first predetermined direction in a state where the plurality of carbon members are aligned in one line while transporting the plurality of carbon members; and a step A3 of forming, subsequent to the step A2 being performed, a second groove crossing the first groove along a second predetermined direction by bringing the ignition end of each of the plurality of carbon members into contact with a second groove cutting member in a state where the plurality of carbon members are aligned in one line along the second predetermined direction while transporting the plurality of carbon members along the second predetermined direction. a step A of forming a plurality of grooves at the ignition end of a plurality of carbon members that extend along a longitudinal axis direction from the ignition end toward a non-ignition end and that have a pillar-like profile, wherein the step A includes: a step A1 of forming a first groove along a first predetermined direction by bringing the ignition end of each of the plurality of carbon members into contact with a first groove cutting member in a state where the plurality of carbon members are aligned in one line along the first predetermined direction while transporting the plurality of carbon members along the first predetermined direction; a step A2 of changing, subsequent to the step A1 being performed, an orientation of the plurality of carbon members so that the first groove formed in the plurality of carbon members crosses relative to the first predetermined direction in a state where the plurality of carbon members are aligned in one line while transporting the plurality of carbon members; and a step A3 of forming, subsequent to the step A2 being performed, a second groove crossing the first groove along a second predetermined direction by bringing the ignition end of each of the plurality of carbon members into contact with a second groove cutting member in a state where the plurality of carbon members are aligned in one line along the second predetermined direction while transporting the plurality of carbon members along the second predetermined direction. a step A1 of forming a first groove along a first predetermined direction by bringing the ignition end of each of the plurality of carbon members into contact with a first groove cutting member in a state where the plurality of carbon members are aligned in one line along the first predetermined direction while transporting the plurality of carbon members along the first predetermined direction; a step A2 of changing, subsequent to the step A1 being performed, an orientation of the plurality of carbon members so that the first groove formed in the plurality of carbon members crosses relative to the first predetermined direction in a state where the plurality of carbon members are aligned in one line while transporting the plurality of carbon members; and a step A3 of forming, subsequent to the step A2 being performed, a second groove crossing the first groove along a second predetermined direction by bringing the ignition end of each of the plurality of carbon members into contact with a second groove cutting member in a state where the plurality of carbon members are aligned in one line along the second predetermined direction while transporting the plurality of carbon members along the second predetermined direction.