The *67 method of blocking one's number from being recognized by a caller ID function does work on cell phones. It functions the same way on a cell phone as it does on a landline phone.
The *67 method of phone number blocking is activated by dialing *67 before dialing a number to be called. For example, to call the number (555) 555-5555 without having the calling number featured on caller ID, the caller would dial *67 (555) 555-5555. However, some secure corporate and government phone numbers cannot be called using the *67 method, and the call will be rejected by these numbers