The present invention refers to synthetic, cyclic peptides containing a sequence of 13 L-amino acids in their primary structure which present anti-inflammatory and antiallergic activities, useful for the treatment of acute or chronic inflammation and/or allergies, being particularly useful for the treatment of acute or chronic allergic asthma. The invention also describes a pharmaceutical composition containing said peptides, its use and a method to treat or prevent acute and/or chronic inflammatory and/or allergic disorders.