Stuck with “java.util.ConcurrentModificationException”

Here is my code:

// eventList is a LinkedList

public void run() {

    Iterator<Event> it = eventList.iterator();
    int size = eventList.size();

    while(size > 0) {
        while(it.hasNext()) {
            Event e = it.next(); //flaged line

            if(e.ready()) {
                System.out.println(e);
                e.action();
                eventList.remove(e);
                --size;
            }
        }
    }
}

The error java.util.ConcurrentModificationException is thrown at the flag lined (Event e = it.next();). Do you see a mistake in my code that makes obvious the reason of that exception to be thrown?