This is an announcement for the paper "Some strongly bounded classes of Banach spaces" by Pandelis Dodos and Valentin Ferenczi. Abstract: We show that the classes of separable reflexive Banach spaces and of spaces with separable dual are strongly bounded. This gives a new proof of a recent result of E. Odell and Th. Schlumprecht, asserting that there exists a separable reflexive Banach space containing isomorphic copies of every separable uniformly convex Banach spaces. Archive classification: Functional Analysis Mathematics Subject Classification: 03E15; 46B03 Remarks: 10 pages The source file(s), DFversion18.tex: 27085 bytes, is(are) stored in gzipped form as 0605475.gz with size 9kb. The corresponding postcript file has gzipped size 52kb. Submitted from: ferenczi@ccr.jussieu.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0605475 or http://arXiv.org/abs/math.FA/0605475 or by email in unzipped form by transmitting an empty message with subject line uget 0605475 or in gzipped form by using subject line get 0605475 to: math@arXiv.org.