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We propose a new method to search for high-redshift galaxies that is based onan intermediate-band dropout technique rather than the usual broad-band dropoutone. In this method, we use an intermediate-band filter whose centralwavelength is longer than 7000 \AA. This new method makes it possible todistinguish both very late-type stars such as L and T dwarfs and dusty galaxiesat intermediate redshift from real high-$z$ Lyman break galaxies. The reasonfor this is that such interlopers do not show strong intermediate-banddepression although they have very red broad-band colors that are indicative ofLyman break galaxies. Applying our new method to imaging data sets obtainedwith the Suprime-Cam on the Subaru Telescope, we find a new sample of Lymanbreak galaxies at $z \simeq 5$.Comment: 15 pages, 5 figures, PASJ, Vol.57, No.2, in pres

The Intermediate-Band Dropout Method: A New Method to Search for High-Redshift Galaxies