Converting an Enumeration to Iterator

public class ConvertEnumeration {

    public static void main(String [] args) {

        // int [] ourArray = {0,1,2,3,4,5,6,7,8,9};
        Vector<Integer> vector = new Vector<Integer>(Arrays.asList(0,1,2,3,4,5,6,7,8,9));

        //Get Enumerator 
        Enumeration<Integer> enumerator = vector.elements();

        EnumerationToIterator<Integer> enumToIt = new EnumerationToIterator<Integer>(enumerator);
        while(enumToIt.hasNext()) {
            System.out.println(enumToIt.next());
        }
    }

}    

//Convert our enumeration to Iterator!
    class EnumerationToIterator<T> implements Iterator<T> {

        //Our enumeration
        Enumeration<T> enmueration;

        //Constructor
        public EnumerationToIterator(Enumeration<T> enmueration){
            this.enmueration = enmueration;
        }

        //Our Methods
        public boolean hasNext(){
            return enmueration.hasMoreElements();
        }

        public T next(){
            return enmueration.nextElement();
        }

        public void remove(){
            throw new UnsupportedOperationException();
        }
    }

Java 5 and Later

No need to reinvent the wheel. Just use Collections.list(Enumeration<T> e), which returns an ArrayList<T>. Then use ArrayList.iterator() to get an Iterator.

Java 9 and Later

Enumerations now have a method to convert directly to an iterator:

enumeration.asIterator();

Wrong assignment in your constructor. It needs to be this.enmueration = enmueration;
enmueration is the constructor argument, and this.enmueration is the object attribute.

Java 9 offers a new default method: Iterator<E> asIterator()