Function pointer in parameter

I need to make a function which adds a function pointer to map. It would be something like this:

bool RegisterFunction (string name, FunctionPointer function).

But I have problem with calling it, because I don't know how to pass function to it instead of result of function (when I call this as here:

RegisterFunction ("run", Run()) 

it doesn't works, neither works Run without parentheses, nor:

• *Run()
• &Run()
• *Run
• &Run

How to fix this?

Edit:
The error is:

parser.cpp|9|error: no matching function for call to  
    'MCXJS::Parser::RegisterFunction(const char [4], <unresolved overloaded function type>)'| 

The RegisterFunction() and Run() functions are in Parser class, which is in MCXJS namespace.
Class body is:

class Parser  
{  
    public:  
    Parser ();  
    CVariable RegisterFunction (FunctionPointer);  
    bool RegisterErrorHandler (ErrorType, ErrorHandlerPointer);  
    CVariable Run (std::string);  
    bool AlwaysDefaultErrorHandler;  
    int MaxCallStackSize;  
    private:  
    std::map <std::string, FunctionPointer> ExternalFunctions;  
    std::map <ErrorType, ErrorHandlerPointer> ErrorHandlers;  
    ErrorHandlerPointer DefaultErrorHandler;  
};  

And the parser.cpp file:

Parser::Parser ():  
    AlwaysDefaultErrorHandler (true), MaxCallStackSize (4)  
{  
    RegisterFunction ("run", Run);  
};  

CVariable Parser::Run (std::string path)  
{  
    return 5;  
};  

Typedefs:

typedef CVariable (*FunctionPointer) (std::string);  
typedef void (*ErrorHandlerPointer) (ErrorData);