Provided herein, inter alia, are isolated antibodies that bind an extracellular domain of a human SIRP-α v1 polypeptide (e.g., the D1 domain), an extracellular domain of a human SIRP-α v2 polypeptide, or both. In some embodiments, the antibodies also bind an extracellular domain of a monkey SIRP-α polypeptide, an extracellular domain of a mouse SIRP-α polypeptide, an extracellular domain of a human SIRP-β polypeptide, and/or an extracellular domain of a human SIRP-γ polypeptide. In some embodiments, the antibodies block or do not binding between an extracellular domain of a human SIRP-α polypeptide and an IgSF domain of a human CD47 polypeptide, while in some embodiments, the antibodies reduce the affinity of a human SIRP-α polypeptide for binding an IgSF domain of a human CD47 polypeptide. Further provided herein are methods, polynucleotides, vectors, and host cells related thereto.