How to create a folder in iOS application Home Page

Use this method to create folders in your Application's Document directory folder:

- (void)createFolderWithName:(NSString *)aName {
    NSString *documentsDirectory = [NSSearchPathForDirectoriesInDomains(NSDocumentDirectory,
                                                                NSUserDomainMask,
                                                                YES) lastObject];
    NSString *folder = [documentsDirectory stringByAppendingPathComponent:aName];

    // Create the folder if necessary
    BOOL isDir = NO;
    NSFileManager *fileManager = [[NSFileManager alloc] init];
    if (![fileManager fileExistsAtPath:folder
                       isDirectory:&isDir] && isDir == NO) {
        [fileManager createDirectoryAtPath:folder
           withIntermediateDirectories:NO
                            attributes:nil
                                 error:nil];
    }
}

Update:

In order to list all folders in your document directory you need to first get list of all the files/folders and then use a UITableView to display them, when user clicks on a sub-folder then you repeat the process with updated path. For details go through this Source Code