This is an announcement for the paper "Compactness in vector-valued Banach function spaces" by Jan van Neerven. Abstract: We give a new proof of a recent characterization by Diaz and Mayoral of compactness in the Lebesgue-Bochner spaces $L_X^p$, where $X$ is a Banach space and $1\le p<\infty$, and extend the result to vector-valued Banach function spaces $E_X$, where $E$ is a Banach function space with order continuous norm. Archive classification: math.FA Mathematics Subject Classification: 46E40 Citation: Positivity 11 (2007), 461-467 Remarks: 6 pages The source file(s), compact_BFS.tex: 39718 bytes, is(are) stored in gzipped form as 0710.3241.gz with size 13kb. The corresponding postcript file has gzipped size 68kb. Submitted from: J.M.A.M.vanNeerven@tudelft.nl The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0710.3241 or http://arXiv.org/abs/0710.3241 or by email in unzipped form by transmitting an empty message with subject line uget 0710.3241 or in gzipped form by using subject line get 0710.3241 to: math@arXiv.org.