New ipod suffle 4th gen will not sync with cd import

Question

my new ipod suffle 4th gen will not sync with cd import,through itunes,other computer has no itunes

Answer 1

I'm not sure how the "other computer" is relevant, but on the computer with iTunes, you probably need to update the iPod's settings for automatic syncing, or load the new songs from CD manually.
In iTunes, if the sidebar (along left side of window) is hidden, from the menu bar, under View, select Show Sidebar.  The shuffle appears in the sidebar, under DEVICES, when connected.  Select it there.  The shuffle's Summary screen is shown to the right.  There is a checkbox for Manually manage music there.  Is that setting currently checked or not checked? 
If it is checked, your iPod is set to add and remove songs manually.  It does not use automatic syncing to update content.  This is how to manually add and remove songs from an iPod.
To add songs manually...  Show a song list in iTunes.  For example, select Music under LIBRARY in the sidebar, to show your main music library list.  Drag a song from the song list to the iPod in the sidebar.  You can do this with more than one song selected, such as the songs from that "CD import."  Alternately, right-click on the selection and choose the command Add to Playlist -> [name of your iPod].
To remove songs manually...  Click on the small triangle to the left of the iPod's name (in the sidebar) to drop down its content list, indented below the iPod.  Click on Music there.  The list of songs on the iPod is shown to the right.  Select the song you want to remove and press Delete on the keyboard.  You can do this with more than one song selected.
NOTE:  If Manually manage music is currently not checked, your iPod is set to use automatic syncing.  Please post back for info on setting up or updating the iPod's automatic sync settings.  When automatic syncing is enabled, you make iTunes responsible for keeping your iPod "in sync" with your iTunes library.