import zipfile
filePaths = [] # Make an array string with all paths to files
for root, directories, files in os.walk("MyDirectoryPath"): # Scans for all subfolders and files in MyDirectoryPath
        for filename in files: # loops for every file
            filePath = os.path.join(root, filename) # Joins both the directory and the file name
            filePaths.append(filePath) # appends to the array
z = zipfile.ZipFile("MyDirectoryPathWithZipExt.zip", 'w')
with z:
    for file in filePaths: # Loops for all files in array
        z.write(file) # Writes file to MyDirectoryPathWithZipExt.zip