We construct a supersymmetric extension of double field theory that realizes the ten-dimensional Majorana-Weyl local supersymmetry. In terms of a stringy differential geometry we proposed earlier, our action consists of five simple terms—two bosonic plus three fermionic—and manifests not only diffeomorphism and one-form gauge symmetry of $B$-field, but also $\mathbf{O}(10,10)$ $T$-duality as well as a direct product of two local Lorentz symmetries, $\mathbf{S}\mathbf{O}(1,9)\times \mathbf{S}\mathbf{O}(9,1)$. A gauge fixing that identifies the double local Lorentz groups reduces our action to the minimal supergravity in ten dimensions.

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