Download the latest version of Free YouTube Downloader and install it. Launch the program.
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Visit youtube.com and open the YouTube videos you are going to download. Copy the URL of each video. You can get the URL of the video from the address bar of your browser.
Click the "YouTube" button in the main interface of Free YouTube Downloader. In the pop up dialog of "Import Video from Internet", paste the URL of the YouTube video you copied just now.
There will be a list of the added YouTube videos.
Tick the videos you are going to download. Right click any of the added video and choose "Download Selected Online FLV" from the drop-down list.
The downloading status is clearly shown on the list. After the status of all of them indicates "Completed", you can get the downloaded .flv videos by right clicking the video list and clicking "Open Source Media" from the drop-down list.
Alternatively, you can click the "Folder" in the main interface to get the output folder.