I have a question. Can we fix our website domain for search engine results. I mean if we do search in any search engine, then only search engine will display only our website domain not display any other site's inner page at any keywords phrase.

For example:

If we search "web design company" then search engine display http://www.xyz.com/ not http://www.xyz.com/webdesiging.html . In any search only display website domain.

Is it possible? if yes then how?

I am awaiting for your reply.

You optimise pages for phrases

hint: it's called SEO

pointing some good ibl to that URL using anchor will help. All about seo as chris said.

The search engines probably find the content of your webdesign.html page more interesting. If you want the main page of the site to show up in search results:
a) put some content and keywords on that page
b) make sure that links from other websites consistently point to your homepage. Eventually the front page will outrun all the other pages in search rankings because of heavier backlinks.

I truly don't understand your logic. Why do you NOT want visitors to find the most relevant page for the query, or are you one of the "muddy" thinkers where you consider it "polite" for everyone to start at the "home" page.
But I guess you aren't that concerned about your site visitors if you want to force them to look at a page that doesn't answer their question directly.

to chrishirst

Search query S could have different intent. With some queries you want to find out websites about S (for example, S="statistical hypothesis testing"). These should go to pages with the most information about S (long content).

With other queries you want to find websites that ARE S. These should go to the homepage. Suppose I'm searching for "webmaster forum." I want a list of websites that ARE webmaster forums, not a discussion about webmaster forums. (or a mix of both in search results)

Likewise, if I'm looking for a "car dealer in nowhereland," the front page of a dealership's site will be the most relevant to my search, not the "about us" page that goes on and on about the company history of this car dealer in nowhereland. For established sites of this nature, proper result ranking rests on the fact that almost 100% of backlinks point to the homepage, even homepages with almost zero content then could (and should) come up on top based on the strength of relevant backlink anchor text.

So you don't want the most relevant page for your query you would rather have the most relevant page provided it's the home page ??
Sorry but your argument does not make sense.

Why shouldn't an "aboutus" or "contactus" page appear for "something in somewhere ?

With other queries you want to find websites that ARE S. These should go to the homepage. Suppose I'm searching for "webmaster forum." I want a list of websites that ARE webmaster forums, not a discussion about webmaster forums. (or a mix of both in search results)

And how pray are the Search Engine going to figure out the intent of what a user want's on any given search.
You may want one thing BUT another user inputting the same search may want something different.

The answer is quite simple for you;
Log into your Google acount, activate personal search and let it learn what YOU want to see.

I think that first of all you should lok through a lot of tutorials.