Сomputer simulation of the internal pressure expanding was performed for pipes with uneven wall thickness made of aluminum alloy. For this simulation software tool ESI Virtual-Performance 2016.0 was used that implements the finite element method. The convergence and accuracy of the solution was estimated by comparison with known solutions. It was found that the variation in wall thickness in the distribution pipe rupture occurs in the thin wall. A wall with minimum thickness continues thinning with an almost constant maximum wall thickness, which leads to an increase in the transverse variation in wall thickness. It was concluded that the increase of the initial variation in wall thickness pipe speeds up the process of rupture in the area of the thin wall. It recommended in conduits conducting high-pressure fluid to apply pipes with minimal variation in wall thickness.