A cortistatin analogue compound of general formula, R 1 -AA 1 -AA 2 -AA 3 -AA 4 -c[Cys-AA 5 -Asn-X-Y-Trp-Lys-Thr-Z-AA 6 -Ser-Cys]-AA 7 -R 2 its stereoisomers, mixtures thereof and/or its pharmaceutically acceptable salts, wherein: AA 1 is Asp or bond AA 2 is Arg or bond AA 3 is Met or Ala or bond AA 4 is Pro or Gly AA5 is Lys or Arg AA 6 is Ser or Thr AA 7 is Lys or bond X, Y, Z are the amino acids Phe, Phg, Msa, 3,4,5-trimethylphenylalanine, Msg, 3,4,5-trimethylphenylglycine and/or a dihalogenophenylalanine, diW-Phe; W is selected from the group consisting of F, Cl, Br and I; R 1 is selected from the group consisting of H, a non-cyclic substituted or unsubstituted aliphatic group, substituted or unsubstituted alicyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted heteroarylalkyl, substituted or unsubstituted aryl, substituted or unsubstituted aralkyl, a polymer derived from polyethylene glycol, a chelating agent and R 5 -CO-; R 2 is selected from the group consisting of -NR 3 R 4, -OR 3 and -SR 3; R 3 and R 4 are independently selected from the group consisting of H, a non-cyclic substituted or unsubstituted aliphatic group, substituted or unsubstituted alicyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted heteroarylalkyl, substituted or unsubstituted aryl, and substituted or unsubstituted aralkyl and a polymer; R 5 is selected from the group consisting of H, a non-cyclic substituted or unsubstituted aliphatic group, substituted or unsubstituted alicyclyl, substituted or unsubstituted aryl, substituted or unsubstituted aralkyl, substituted or unsubstituted heterocyclyl and substituted or unsubstituted heteroarylalkyl; and with the condition that: - At least one of the amino acids X, Y or Z is Msa, 3,4,5-trimethylphenylalanine, Msg, 3,4,5-trimethylphenylglycine and/or a dihalogenophenylalanine, diW-Phe; - If AA 1 and AA 2 are bonds, AA 3 is Ala, AA 4 is Gly, AA 5 is Lys, AA 6 is Thr and AA 7 is a bond, then at least one of the amino acids X, Y or Z is a dihalogenophenylalanine, diW-Phe. AA 1 is Asp or bond AA 2 is Arg or bond AA 3 is Met or Ala or bond AA 4 is Pro or Gly AA5 is Lys or Arg AA 6 is Ser or Thr AA 7 is Lys or bond X, Y, Z are the amino acids Phe, Phg, Msa, 3,4,5-trimethylphenylalanine, Msg, 3,4,5-trimethylphenylglycine and/or a dihalogenophenylalanine, diW-Phe; W is selected from the group consisting of F, Cl, Br and I; R 1 is selected from the group consisting of H, a non-cyclic substituted or unsubstituted aliphatic group, substituted or unsubstituted alicyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted heteroarylalkyl, substituted or unsubstituted aryl, substituted or unsubstituted aralkyl, a polymer derived from polyethylene glycol, a chelating agent and R 5 -CO-; R 2 is selected from the group consisting of -NR 3 R 4, -OR 3 and -SR 3; R 3 and R 4 are independently selected from the group consisting of H, a non-cyclic substituted or unsubstituted aliphatic group, substituted or unsubstituted alicyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted heteroarylalkyl, substituted or unsubstituted aryl, and substituted or unsubstituted aralkyl and a polymer; R 5 is selected from the group consisting of H, a non-cyclic substituted or unsubstituted aliphatic group, substituted or unsubstituted alicyclyl, substituted or unsubstituted aryl, substituted or unsubstituted aralkyl, substituted or unsubstituted heterocyclyl and substituted or unsubstituted heteroarylalkyl; and with the condition that: - At least one of the amino acids X, Y or Z is Msa, 3,4,5-trimethylphenylalanine, Msg, 3,4,5-trimethylphenylglycine and/or a dihalogenophenylalanine, diW-Phe; - If AA 1 and AA 2 are bonds, AA 3 is Ala, AA 4 is Gly, AA 5 is Lys, AA 6 is Thr and AA 7 is a bond, then at least one of the amino acids X, Y or Z is a dihalogenophenylalanine, diW-Phe. - At least one of the amino acids X, Y or Z is Msa, 3,4,5-trimethylphenylalanine, Msg, 3,4,5-trimethylphenylglycine and/or a dihalogenophenylalanine, diW-Phe; - If AA 1 and AA 2 are bonds, AA 3 is Ala, AA 4 is Gly, AA 5 is Lys, AA 6 is Thr and AA 7 is a bond, then at least one of the amino acids X, Y or Z is a dihalogenophenylalanine, diW-Phe.