An internal bidirectional tubing plug for plugging a well to prevent well fluids from passing the plug in a well conduit until the internal components of the plug are pumped out of its body. The body of the plug connects to the well's tubing string. The body holds a petal assembly consisting of several petals and a tapered cork assembly located within an opening formed by the petals. Both assemblies are sandwiched between upper and lower pistons. Hydrostatic pressure on the bottom of the plug as it is lowered into the fluid filled well holds the petals within the body. The internal components of the plug are removed from the body by applying hydraulic pressure in the upper area of the plug. This causes the plug to fail at a recess provided in the cork, resulting in the two assemblies and the pistons being forced out of the body.