First use the ID as a link:
echo '<td><a href="DetailPage.php?ID=' . $row["ID"] .'">View Details</a></td>';
Notice I've use single quotes for the PHP string so that we can use double quotes for the HTML without using back slashes to escape them.
Then on DetailPage.php
$intID = $_GET["ID"]) // Retrieve the ID
Which you can now use as part of your SQL statement, for example:
$pdo = $connDB->prepare("SELECT Something, SomethingElse FROM tbl_Name WHERE ID=? LIMIT 0,1;");
$pdo->execute(array($intID));
Or if you're using mysql_query something like this:
$result = mysql_query($connDB,"SELECT Something, SomethingElse FROM tbl_Name WHERE ID=" . $intID . " LIMIT 0,1;");
mysql_query is being dropped soon, so it might be worth looking into using mysqli_query() or PDO::query() instead, rather than have your code stop working sometime in the future:
http://php.net/manual/en/function.mysql-query.php