Following are two different things here: Style of the iframe block and the style of the page embedded in the iframe you can also set the style of the iframe block the usual way like this:
<iframe name="iframe1" id="iframe1" src="empty.htm"
frameborder="0" border="0" cellspacing="0"
style="border-style: none;width: 100%; height: 120px;"></iframe>
In the iframe, the style of the page embedded must be either set by including it in the child page like this:
<link type="text/css" rel="Stylesheet" href="Style/simple.css" />
Otherwise, it can be loaded from the parent page with Javascript like this:
var cssLink = document.createElement("link");
cssLink.href = "style.css";
cssLink.rel = "stylesheet";
cssLink.type = "text/css";
frames['iframe1'].document.head.appendChild(cssLink);
Note: This does not work cross-domain unless the appropriate CORS header is set.