Учимся гуглить | 1 уровень | 11 лекция

public void createZipFile(Path zipFilePath, List<Path> sourcePaths) throws IOException {
    try (ZipOutputStream zos = new ZipOutputStream(new FileOutputStream(zipFilePath.toFile()))) {
        for (Path sourcePath : sourcePaths) {
            Files.walkFileTree(sourcePath, new SimpleFileVisitor<Path>() {
                @Override
                public FileVisitResult visitFile(Path file, BasicFileAttributes attrs) throws IOException {
                    ZipEntry zipEntry = new ZipEntry(sourcePath.relativize(file).toString());
                    zos.putNextEntry(zipEntry);
                    Files.copy(file, zos);
                    zos.closeEntry();
                    return FileVisitResult.CONTINUE;
                }

                @Override
                public FileVisitResult preVisitDirectory(Path dir, BasicFileAttributes attrs) throws IOException {
                    ZipEntry zipEntry = new ZipEntry(sourcePath.relativize(dir).toString() + "/");
                    zos.putNextEntry(zipEntry);
                    zos.closeEntry();
                    return FileVisitResult.CONTINUE;
                }
            });
        }
    }
}