Will my State tax refund be sent to my bank account?

Only you will know what you chose for your state refund method.    Did you choose a bank checking account, a prepaid debit card, or a check in the mail?   You can look at your state return paperwork to see.  Also a page called the state Filing Instructions may show the refund method.   If necessary, we can tell you how to open the return back up and go through the refund screens in the File section to see what you chose.

If you haven't received your state refund yet?    If not, you need to check to be sure it was successfully filed.   

If you efiled, what do you see when you check with this tool?   Was your state return accepted?
https://shop.turbotax.intuit.com/efile/efile_status_lookup.jsp

If that showed your efiled state return was accepted, or if you printed and mailed the return, the FAQ below tells how to check on a state refund.

TIP:   While you're at your state's tax website, also look for a statement or FAQ that may say about how long it takes to get a refund in your state and how to long to wait before phoning them.

FAQ:  How do I track my state refund?

https://ttlc.intuit.com/community/refund-status/help/how-do-i-track-my-state-refund/00/25571