This is a sticky post. There are a few things to verify:

• The sticky post should be distinctly recognizable in some way in comparison to normal posts. You can style the .sticky class if you are using the post_class() function to generate your post classes, which is a best practice.
• They should show at the very top of the blog index page, even though they could be several posts back chronologically.
• They should still show up again in their chronologically correct postion in time, but without the sticky indicator.
• If you have a plugin or widget that lists popular posts or comments, make sure that this sticky post is not always at the top of those lists unless it really is popular.