.showme {
display: none;
}
.showhim:hover .showme {
display: block;
}
HOVER ME
hai
jsfiddle
Since this answer is popular I think a small explanation is needed. Using this method when you hover on the internal element, it wont disappear. Because the .showme is inside .showhim it will not disappear when you move your mouse between the two lines of text (or whatever it is).
These are example of quirqs you need to take care of when implementing such behavior.
It all depends what you need this for. This method is better for a menu style scenario, while Yi Jiang's is better for tooltips.