In Visual Studio Code Ctrl+V is not working

Open the keyboard shortcuts preferences by pressing CTRL + SHIFT + P and search for open keyboard shortcuts file.

Then, search for the editor.action.clipboardPasteAction property. In your case, it might be CTRL+SHIFT+V. Try changing it to Ctrl + V. Like so:

Hope it helps :)

I´ve had this problem when I enabled the "VIM" plugin for VSCode.

After uninstalling it, the problem was fixed.

@WebD'is answer is very helpful and I have upvoted it. But my comment focused on whether there was a conflicting binding for CTRL-V and how to find it. You can literally type "Ctrl+V" (note the "plus+" sign, not a hyphen) and it will find all keybindings that use that binding in whole or part. I suggest that there must be a something else also bound to CTRL-V.

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Since this original answer, vscode introduced another way to see what other commands might be bound to given keystrokes. With the Gear/Keyboard Shortcuts file open click on the little keyboardy icon to the right (or Alt+K with this file open) and it will indicate Recording Keys next to it. Now you can literally press Ctrl+V (or whichever keybinding you are interested in) and those corresponding commands, if any, that use that keybinding will be filtered up.

Remember to disable the Recording Keys functionality by clicking the keyboardy icon if you want to go back to regular searching in the Keyboard Shortcuts file.