The invention discloses a single-pile-casing construction method for a static pressure sinking pipe carrier cast-in-place pile. A static pile driver and a single pile casing can be used for manufacturing the carrier pile; carrier concrete materials are put in at a time, the construction speed is obviously increased, and energy conservation and environment friendliness are achieved; and the pulling resistance of the carrier pile manufactured through the static pile driver and the single pile casing is obviously improved. The method includes the following steps that firstly, a field is cleaned, surveying and setting out are conducted, and the static pile driver is moved to a station; secondly, the steel pile casing provided with a conical valve pile tip is pressed to the designed elevation; thirdly, concrete with the amount needed by a carrier is put into the steel pile casing at a time; fourthly, the steel pile casing is pulled upwards to be exposed out of the ground, and the space formed by upward pulling of the steel pile casing is automatically filled with the put-in carrier concrete ; fifthly, the pile tip is closed, the steel pile casing is pressed downwards, the downward pressing force and the elevation reach preset values, and the carrier concrete is compacted to form an expanded carrier; sixthly, closing is automatically relieved, pile body concrete is poured, or a reinforcement cage is firstly placed, and then concrete is poured; and seventhly, the steel pile casing is pulled out of the ground while vibration is conducted, and the pile is formed.