The invention discloses a gravity type rigid anchoring foundation suitable for a muddy seabed and a construction method of the gravity type rigid anchoring foundation. The gravity type rigid anchoring foundation suitable for the muddy seabed comprises a basic framework and a net bag, wherein the integral basic framework has a semispherical arc-shaped net structure with a bottom; the top and the middle of the outer wall of the basic framework are respectively provided with an opening and a mooring ring; the net bag which has a semispherical arc-shaped net structure with a bottom is inserted in the basic framework; the size of the net bag is matched with the size of a cavity of the basic framework; during working, an anchor chain is moored on the mooring ring; the basic framework sinks to a seabed in a preset sea area; ballasting bags are thrown from a position above the opening in the upper part of the basic framework and the cavity in the net bag is filled with the ballasting bags; and construction is finished by assembling of an anchoring foundation, sinking of the basic framework into the preset sea area, throwing of the ballasting bags and checking of sinking gestures. The gravity type rigid anchoring foundation suitable for the muddy seabed is simple in structure, convenient to manufacture, low in integral gravity and high in anti-overturning ability; the construction waste ballasting bags are used, materials are convenient to take, and the costs are low; and large hoisting equipment is not required, underwater operation is avoided, and offshore operation time is short.