Fluorescent proteins have transformed biological imaging, yet their limited photostability and brightness restrict their applications. We used deep learning-based de novo protein design methods to design binders to three bright, stable and cell-permeable dyes spanning the imaging spectrum: JF657 (far red), JF596 (orange-red) and JF494 (green). We obtain highly specific dye-binding proteins with low nanomolar affinities for the intended target; a crystal structure of one binder confirms close resemblance to the design model. Simultaneous labeling of mammalian cells expressing three dye-specific binders at different subcellular compartments demonstrates the utility in multiplex imaging. We further expand the functionality of the binder by incorporating an active site that carries out nucleophilic aromatic substitution to form a covalent linkage with the dye, and develop split versions which reconstitute fluorescence at subcellular locations where both halves are present towards monitoring in-cell protein interactions and chemically induced dimerization. Our designed high affinity and specificity dye binders open up new opportunities for multiplexed biological imaging.