The capacitance of a parallel plate capacitor can depend on applied magnetic field. Previous studies have identified capacitance changes induced via classical Lorentz force or spin-dependent Zeeman effects. Here we measure a magnetization direction dependent capacitance in parallel-plate capacitors where one plate is a ferromagnetic semiconductor, gallium manganese arsenide. This anisotropic magneto-capacitance is due to the anisotropy in the density of states dependent on the magnetization through the strong spin-orbit interaction.Capacitance, the ability of a body to retain charge is defined by the relation 1/C g = dV e /dq, the ratio of the change in electrostatic potential to the amount of charge added. In a simple parallel plate capacitor one normally calculates this capacitance through the change in electrostatic potential by integrating the electric field E due to charges on the surface of two metallic plates over the separating distance d. However, corrections to this electrostatic picture can be important, and other contributions to the change in potential when additional charge is added must be taken into account. It is often helpful to reformulate these corrections as effective series capacitances in series with a geometrical capacitance expected from the classical picture [1][2][3]. In particular, the effect of change in chemical potential due to the finite density of states can be important in low dimensional systems. This has been exploited for example in two-dimensional electron gases where the additional chemical contribution to the potential, the electron compressibility, allows probing of Landau levels in the density of states in the quantum Hall regime [2].In this Letter, we exploit this kind of capacitance correction to demonstrate an anisotropic magnetocapacitance (AMC). This is analogous to anisotropic magneto-resistance (AMR) [4], an important technology in magnetic field sensing applications [5] and of a similarly relativistic magnetic origin, but in this different fundamental electrical circuit element.In general, magnetic effects on transport properties such as AMR can be ascribed to three different categories: ordinary (orbital), due to the Lorentz force; spindependent, due to splitting of spin sub-bands through ferromagnetism or the Zeeman effect; and extraordinary, relativistic in origin through the spin-orbit interaction. Some well known examples of these effects in resistance are Lorentz magneto-resistance, giant magnetoresistance (GMR) [6], and AMR [7] respectively. Classifying magneto-capacitance along similar lines, both ordinary and spin-dependent effects have been observed previously. Changes in capacitance as a function of in-plane magnetic field have been measured in two-dimensional electron gases and attributed to combined Lorentz force and quantum confinement effects [8,9]; spin dependent effects have been considered theoretically [10], and experimentally measured due to the Zeeman splitting in Pd plate capacitors [11] and in magnetic tunnel junctions several measurements ...