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We report proper motion measurements for 25 very-low mass (VLM) star andbrown dwarf (BD) candidates of the Pleiades cluster previously identified byBouvier et al. (1998). Proper motions are measured with an accuracy of 9mas/yr, compared to an expected tangential motion of about 50 mas/yr forPleiades members. Of the 25 candidates, 15 have a membership probability of 95%or more and 7 are rejected as being field dwarfs. The 3 remaining candidatesexhibit independent evidence for membership (lithium absorption or long-termproper motion). From the firm identification of Pleiades VLM and BD members,the cluster's substellar mass function is revised to dN/dM \propto M^{-0.5} inthe mass range from 0.04 to 0.3 M_solar.Comment: 7 pages, 2 tables, 2 figures, accepted by A&

Proper motion of very low mass stars and brown dwarfs in the Pleiades cluster