I am using bootstrap by default textbox taking full width of column and I want to put search icon at the end to textbox.

My code is like this:

<!-- language: lang-html -->
<div class="container">
    <div class="row">
        <div class="form-group col-lg-4">
            <label class="control-label">Name</label>
            <input id="txtName" class="form-control input-sm" />
            <span class="glyphicon glyphicon-search"></span> 
        </div>
        <div class="col-lg-4"></div>
        <div class="col-lg-4"></div>
    </div>
</div>

I don't want to use input group.

Please suggest an alternate way or alternate html with css.

Here are three different ways to do it:

screenshot

Here's a working Demo in Fiddle Of All Three

Validation:

You can use native bootstrap validation states (No Custom CSS!):

<div class="form-group has-feedback">
    <label class="control-label" for="inputSuccess2">Name</label>
    <input type="text" class="form-control" id="inputSuccess2"/>
    <span class="glyphicon glyphicon-search form-control-feedback"></span>
</div>

For a full discussion, see my answer to Add a Bootstrap Glyphicon to Input Box

Input Group:

You can use the .input-group class like this:

<!-- language: lang-html -->
<div class="input-group">
    <input type="text" class="form-control"/>
    <span class="input-group-addon">
        <i class="fa fa-search"></i>
    </span>
</div>

For a full discussion, see my answer to adding Twitter Bootstrap icon to Input box

Unstyled Input Group:

You can still use .input-group for positioning but just override the default styling to make the two elements appear separate.

Use a normal input group but add the class input-group-unstyled:

<!-- language: lang-html --> <pre><code>&lt;div class=&quot;input-group <b>input-group-unstyled</b>&quot;&gt; &lt;input type=&quot;text&quot; class=&quot;form-control&quot; /&gt; &lt;span class=&quot;input-group-addon&quot;&gt; &lt;i class=&quot;fa fa-search&quot;&gt;&lt;/i&gt; &lt;/span&gt; &lt;/div&gt; </code></pre>

Then change the styling with the following css:

<!-- language: lang-css -->
.input-group.input-group-unstyled input.form-control {
    -webkit-border-radius: 4px;
       -moz-border-radius: 4px;
            border-radius: 4px;
}
.input-group-unstyled .input-group-addon {
    border-radius: 4px;
    border: 0px;
    background-color: transparent;
}

Also, these solutions work for any input size