Abstract: The invention relates to the development of drugs intended for the prophylaxis and/or treatment of viral diseases caused, in particular, by herpes viruses. What are proposed are complex compounds of germanium having the general structural formula: Gex[AD][CA]y[AA]z??(I), where AD is a derivative of a nitrogenous base of the purine series that has antiviral activity and can be selected from guanine derivatives, such as acyclovir, valacyclovir, gancyclovir and pencyclovir, or from adenine derivatives, such as vidarabine; CA is a hydroxycarboxylic acid which can be selected from acids such as (but not limited to) citric acid, lactic acid and malic acid; AA is an amino acid which can be selected from various a-amino acids, such as arginine, glycine, lysine and threonine, and where x=1-2, y=2-4 and z=0-2. Complex compounds of germanium have a high level of antiviral and immune-stimulating activity and are readily soluble in water.