Abstract of the Disclosure: Pentasil zeolites agglomerated in the form of hollow spheres and having a particle size of from 5 to 200 micron are prepared by treating a mixture of an aqueous alkylenediamine, alkylenetriamine and/or alkylenetetramine, silica and an aluminum, boron and/or titanium salt at from 20.degree. to 100.degree. C., then crystallizing the product at from 110.degree. to 200.degree. C. and from 0.01 to 50 bar and calcining it at from 400.degree. to 650.degree. C., and said zeolites are used as catalysts and/or adsorbents.