Which sentence is right?
1) I have never felt so tired.
2) I have never been so tired.

Question

Answer

They are both correct.

Answer

They are both correct. Here are some more examples which involve feelings:

1. I have never felt so angry. = I have never been so angry.
2. I have never felt so sad. = I have never been so sad.
3. I have never felt so depressed. = I have never been so depressed.
4. I have never felt so exhausted. = I have never been so exhausted.

These I would write with just "been":

1. I have never been so late.
2. I have never been so on time for a meeting.

Although....

Summer has never felt so late.  = It seems like summer has never arrived this late before.

Answer

Both are correct. "to be tired" is slightly more common than "to feel tired" according to google.