The present disclosure provides variant immunomodulatory polypeptides, andfusion polypeptides comprising the variantimmunomodulatory peptides. The present disclosure provides T-cell modulatorymultimeric polypeptides, and compositions comprisingsame, where the T-cell modulatory multimeric polypeptides comprise a variantimmunomodulatory polypeptide of the presentdisclosure. The present disclosure provides nucleic acids comprisingnucleotide sequences encoding the T-cell modulatory multimericpolypeptides, and host cells comprising the nucleic acids. The presentdisclosure provides methods of modulating the activity of a Tcell; the methods comprise contacting the T cell with a T-cell modulatorymultimeric polypeptide of the present disclosure.