A core shaft of the control stick of a vertical type faucet has a faucet body, a locking ring unit, a valve case, a valve, a core shaft of the control stick, a stick fixing mount, a support base, a switch mount, and a faucet handle wherein the core shaft of the control stick joined to the stick fixing mount, the valve, and the support base respectively, is located onto the switch mount with an arc actuation block of the core shaft thereof inserted into a link activation cavity of the switch mount thereof. The valve case encased the valve and the switch mount therein is adapted to the faucet body and screw joined thereto via the locking ring unit thereof; the core shaft thereof is screw joined to the faucet handle via an externally threaded upper section thereof. In operation, the faucet handle is pushed forwards or downwards, bending said core shaft of the control stick which will move an upper switch valve of said switch mount therewith via the arc actuation block, for water to be channeled via a lower switch valve for the discharge of cold or hot water for use. To adjust water temperature, the faucet handle thereof is first bent forwards and then switched to the right or left to activate the upper switch valve thereof so as to adjust the amount of cold or hot water channeled via the lower switch valve thereof to be discharged at a desirable temperature for use.