Submitting different domains

I have two domains redirecting to the same website.
one is www.xxxxxx.com and the other is www.xxx-xxx.com.

I have submitted www.xxxxx.com and it has been listed in google.
now can I submit www.xxxx-xxx.com.

Please advise.

You can submit any domain at any time and as often as you'd like. There's no rules against that.

The only thing you have to watch is not submitting one domain heaps of times. Even once a week is enough to get google a bit upset from time to time.

As most people on here will tell you, submitting a site thorugh they "Submit URL" page is almost as much use as sending them a letter asking them to. It'll be done, but you coudl wait 3-6 months before they decide ot update that part of their system. The best way to get indexed is to get backlinks from as many other sites as your links on there will get you indexed a whole lot faster then submitting the URL's to Google.