How to convert an Iterator to a Stream?

One way is to create a Spliterator from the Iterator and use that as a basis for your stream:

Iterator<String> sourceIterator = Arrays.asList("A", "B", "C").iterator();
Stream<String> targetStream = StreamSupport.stream(
          Spliterators.spliteratorUnknownSize(sourceIterator, Spliterator.ORDERED),
          false);

An alternative which is maybe more readable is to use an Iterable - and creating an Iterable from an Iterator is very easy with lambdas because Iterable is a functional interface:

Iterator<String> sourceIterator = Arrays.asList("A", "B", "C").iterator();

Iterable<String> iterable = () -> sourceIterator;
Stream<String> targetStream = StreamSupport.stream(iterable.spliterator(), false);

Since version 21, Guava library provides Streams.stream(iterator)

It does what @assylias's answer shows.

Great suggestion! Here's my reusable take on it:

public class StreamUtils {

    public static <T> Stream<T> asStream(Iterator<T> sourceIterator) {
        return asStream(sourceIterator, false);
    }

    public static <T> Stream<T> asStream(Iterator<T> sourceIterator, boolean parallel) {
        Iterable<T> iterable = () -> sourceIterator;
        return StreamSupport.stream(iterable.spliterator(), parallel);
    }
}

And usage (make sure to statically import asStream):

List<String> aPrefixedStrings = asStream(sourceIterator)
                .filter(t -> t.startsWith("A"))
                .collect(toList());

This is possible in Java 9.

Stream.generate(() -> null)
    .takeWhile(x -> iterator.hasNext())
    .map(n -> iterator.next())
    .forEach(System.out::println);

Create Spliterator from Iterator using Spliterators class contains more than one function for creating spliterator, for example here am using spliteratorUnknownSize which is getting iterator as parameter, then create Stream using StreamSupport

Spliterator<Model> spliterator = Spliterators.spliteratorUnknownSize(
        iterator, Spliterator.NONNULL);
Stream<Model> stream = StreamSupport.stream(spliterator, false);

import com.google.common.collect.Streams;

and use Streams.stream(iterator) :

Streams.stream(iterator)
       .map(v-> function(v))
       .collect(Collectors.toList());

Another way to do this on Java 9+ using Stream::iterate(T, Predicate, UnaryOperator):

Stream.iterate(iterator, Iterator::hasNext, UnaryOperator.identity())
        .map(Iterator::next)
        .forEach(System.out::println);

1 assylias's solution wrapped in a method:

public static <T> Stream<T> toStream(Iterator<T> iterator) {
    return StreamSupport.stream(((Iterable<T>)() -> iterator).spliterator(), false);
}

2 guava Streams implementation (marked with @Beta):

public static <T> Stream<T> stream(Iterator<T> iterator) {
    return StreamSupport.stream(Spliterators.spliteratorUnknownSize(iterator, 0), false);
}

Use Collections.list(iterator).stream()...