Only if it is a ipod nano 4th generation
Yes, just go to mediaconverter.org, download the YouTube videos, add the vieos to your iTunes library, sync your iPod and you will see the YouTube videos.
You can download videos from YouTube and convert them with this program called YouTube Downloader, go to http://youtubedownload.altervista.org/ then you can put then on your iPod or what ever
Download and install Rockbox on your Ipod nano. Then you can convert your videos with winff to the Rockbox ipod nano 4:3 format
Download and convert youtube to iPod compatible video.
An iPod must have video capabilities to run YouTube. Any iPod that has video may be able to watch YouTube videos, however it is a simpler process on some compared to others. The iPod Touch is highly recommended for viewing YouTube videos.
Step by step guide about converting DVD, Videos, Flash and Youtube videos to iPod: http://www.topsreviews.com/guides/cucusoft-dvd-to-ipod-converter-suite-guide.html
1. You can download Youtube with Safari and convert downloaded videos to iPod with a video converter
You have to have pro tube
youtube
YouTube videos can be downloaded straight to an iPod. But for people to be able to do this, the iPod had to have or use KeepVid and some application like IWoopie.
Now YouTube launched its own music streaming service - YouTube Music. It allows free users to listen to music online. If you have a Premium account, you can download YouTube Music for offline listening. YouTube Music is compatible with the iPod Touch. If your iPod Touch supports the YouTube Music app, you can play the songs on your iPod Touch directly. If not, you can try Macsome YouTube Music Downloader, It allows you to download YouTube Music to MP3, and then you can sync YouTube Music to iPod.