Synthetic peptides which have non-narcotic type of analgesic action are suggested in the general formula 1 [SEQ ID NO:1] H- XDL-XDL1- XDL2- L- Lys - L-Leu - XDL3 - L-Thr -R2 (I), where: H is hydrogen, XDL is absence of amino acid of L-Tyr, XDL1 is one of the following amino acids: L-Leu, L-Ala or D-Ala, XDL2 is one of the following amino acids: L-His, D-His, L-Ala or D-Ala, XDL3 is one of the following amino acids: L-Gln, L-Ala or D-Ala R2 is OMe or NH2, as well as peptides - retro-inversions of the formula (I) which have reverse sequence of amino acids with replacement of L-form of amino acids with D-form and D-form of amino acids with L-form in the general formula 2 [SEQ ID NO:2] H- D-Thr -XDL4- D-Leu - D- Lys - XDL5- XDL6 - XDL7 -R2 (II), where: H is hydrogen, XDL4 is one of the following amino acids: D-Gln, D-Ala or L- Ala, XDL5 is one of the following amino acids: D-His, L-His, D-Ala or L-Ala, XDL6 is one of the following amino acids: D-Leu, D-Ala or L-Ala, XDL7 is absence of amino acid of D-Tyr, R2 is OMe or NH2.