Analogs of human insulin modified at position 29 of the B chain thereof and, optionally, at other positions, have modified physico-chemical and pharmacokinetic properties and are useful in the treatment of hyperglycemia. The insulin analogs are of the formula or a pharmaceutically acceptable salt thereof, wherein A21 is alanine, asparagine, aspartic acid, glutamine, glutamic acid, glycine, threonine, or serine; B1 is phenylalanine, aspartic acid, or is absent; B2 is valine or may be absent when B1 is absent; B3 is asparagine or aspartic acid; B9 is serine or aspartic acid; B10 is histidine or aspartic acid; B27 is threonine or is absent; B28 is any amino acid, B29 is L-proline, D-proline, D-hydroxyproline, L-hydroxyproline, L-(N-methyllysine), D-lysine, L-(N-methylarginine) or D-arginine; B30 is alanine, threonine or is absent; Z is -OH, -NH2, -OCH3, or -OCH2CH3; X is Arg, Arg-Arg, Lys, Lys-Lys, Arg-Lys, Lys-Arg, or is absent; and Y may be present only when X is present and, if present, is Glu or an amino acid sequence which comprises all or a portion of the sequence -Glu-Ala-Glu-Asp-Leu-Gln-Val-Gly-Gln-Val-Glu-Leu-Gly-Gly-Gly-Pro-Gly-A la-Gly-Ser -Leu-Gln-Pro-Leu-Ala-Leu-Glu-Gly-Ser-Leu-Gln-Lys-Arg- and which begins at the N-terminus Glu of such sequence.