Issue with Tab-Based scripts and widgets

When I trying to put any of the existing tab-based scripts in my blog or enable tab-based wordpress’s widget(‘tabbed-widget’ for example) I have the same problem – all content from all tabs is showing together in list format and it’s not switching when I click each tab.

In the same time, when I put the script in usual html file tabs work! So, where the problem can be? Help, please.