We study generic Einstein-Maxwell-Kalb-Ramond-dilaton actions, and derive conditions under which they give rise to static, spherically symmetric black hole solutions. We obtain new asymptotically flat and non-flat black hole solutions which are in general electrically and magnetically charged. They have positive definite and finite quasi-local masses. Existing non-rotating black hole solutions (including those appearing in low energy string theory) are recovered in special limits.1 There is an additional augmentation of the KR field strength with the Lorentz Chern-Simons term on account of gravitational anomaly cancellation. However, we are not taking any notice of it since it is dimensionally suppressed, for being quadratic in the scalar curvature. In fact, we are not taking into account the higher curvature corrections to the tree level string action anyway.