A fuel pressure accumulator for a fuel supply circuit of a turbine engine having at least one pipe is provided. The fuel pressure accumulator generally includes at least one housing adjacent to said pipe and receiving at least one deformable enclosure confining a gas and having at least one movable wall in contact with the fuel in order to dampen a fuel overpressure, where the housing is coaxial with the pipe and the accumulator has a permeable chamber delimited at least partially by the housing, pressurizing the deformable enclosure and communicating with the main fuel flow via a grid with staged walls tilted, with respect to a direction of the flow flowing along the grid, substantially in the direction of the deformable enclosure.