Can I put new tile over older tile or do I have to remove the old tile

No. You have to pull up the old tile.

so Why not consider painting the old tile. What is the tile made of?

If you want to just change the look, I agree with Janet. Consider painting what you have. Removing tile is a really hard job and you have to get all of the old glue off as well. You could paint tiles in different colors creating a pattern with them or you could even paint each tile with a stencil then seal them.

Here's the article page on google to help you get started figuring out how to remove the old tile if you really want to change it.

https://www.google.com/search?q=how+to+remove+a+tile+kitchen+countertop&ie=&oe=

HTH

Correct. The old tile will need to be removed.

I've tiled over tile and no issues at all.

Really? What did you use?

Thank you, everyone. You gave me great alternative ideas. I'm not ready to tackle removing the tile.

Hi Caryl Ann, not ceramic tiles, but you could put peel and stick tiles over the existing ceramic tiles, As long as you prepare your existing surface well, you can place most peel-and-stick tiles over existing surfaces. Do keep in mind that some peel-and-stick tiles will only adhere well when the grout lines are filled in to be flush with the existing tile. Hope this video helps you out,

https://www.youtube.com/watch?v=fXN_ULv8nSo