How do I pass extra arguments to a Python decorator?

Since you are calling the decorator like a function, it needs to return another function which is the actual decorator:

def my_decorator(param):
    def actual_decorator(func):
        print("Decorating function {}, with parameter {}".format(func.__name__, param))
        return function_wrapper(func)  # assume we defined a wrapper somewhere
    return actual_decorator

The outer function will be given any arguments you pass explicitly, and should return the inner function. The inner function will be passed the function to decorate, and return the modified function.

Usually you want the decorator to change the function behavior by wrapping it in a wrapper function. Here's an example that optionally adds logging when the function is called:

def log_decorator(log_enabled):
    def actual_decorator(func):
        @functools.wraps(func)
        def wrapper(*args, **kwargs):
            if log_enabled:
                print("Calling Function: " + func.__name__)
            return func(*args, **kwargs)
        return wrapper
    return actual_decorator

The functools.wraps call copies things like the name and docstring to the wrapper function, to make it more similar to the original function.

Example usage:

>>> @log_decorator(True)
... def f(x):
...     return x+1
...
>>> f(4)
Calling Function: f
5

Just to provide a different viewpoint: the syntax

@expr
def func(...): #stuff

is equivalent to

def func(...): #stuff
func = expr(func)

In particular, expr can be anything you like, as long as it evaluates to a callable. In particular particular, expr can be a decorator factory: you give it some parameters and it gives you a decorator. So maybe a better way to understand your situation is as

dec = decorator_factory(*args)
@dec
def func(...):

which can then be shortened to

@decorator_factory(*args)
def func(...):

Of course, since it looks like decorator_factory is a decorator, people tend to name it to reflect that. Which can be confusing when you try to follow the levels of indirection.