Frequently asked questions - Writer
From The Document Foundation Wiki
How do I move a paragraph using the keyboard?
- Put the cursor in the paragraph you want to move.
- Press Ctrl+Alt+↑ or Ctrl+Alt+↓ keys depending on the direction you wish to move the text.
- On OS X systems the ctrl has to be replaced with ⌘ Cmd
Note: On some systems, the Alt is controlled by the window manager and the key combination doesn't work.