There are a few reasons that your toner might cause a burning sensation; most notably, if you do not have any known sensitivities to any of the ingredients in the product, chances are that it is simply too strong of an astringent toner for your face. In which case, I would strongly advise that you switch out your current toner for one that is less strong or simply formulated better.
Some common ingredients to look out for might include alcohol, citrus extracts or essential oils (grapefruit, lemon, orange, etc.), or actives (AHAs, BHAs, retinol, etc.). These things are not bad in themselves, but if there is too much in your toner your skin will react badly, whether that be through a burning sensation, skin tightness, peeling, redness, or skin that starts out looking matte but moves to a more oily/greasy appearance over time. These are all signs you may be over-exfoliating your skin using this astringent toner.
Another thing to look out for is when that toner causes the burning sensation – does it happen all the time? Or does it only happen if used after a specific product? If it’s all the time, then it’s time to get a new toner. If it only happens after washing your face, the culprit could actually be your face wash – does it contain any alcohol, citruses, tea tree oil, etc.? Be sure to use a face wash that doesn’t cause your skin to dry out, especially if you plan on using an astringent toner afterward.
Best of luck!