Tragedy in Nashville — an elderly woman was hit and killed by a truck this weekend … and we have learned the driver was country singer Conner Smith.

Law enforcement sources tell TMZ … Conner was behind the wheel of a Chevy Silverado heading north on 3rd Ave when 77-year-old Dorothy Dobbins was crossing the street Sunday — and that’s when tragedy struck.

We’re told Dobbins, a local resident, was in a marked crosswalk around 7:30 PM when she was hit. She was rushed to Vanderbilt Medical Center … but sadly didn’t make it.

Sources close to Conner tell TMZ that this was a tragic accident and that he was not under the influence or distracted by his phone at the time of the crash.

Conner’s attorney, Worrick G. Robinson, released a statement to us, saying … “On June 8th, Mr. Smith was involved in a car accident that tragically claimed a life. His heart goes out to Ms. Dobbins’ family during this incredibly difficult time. Mr. Smith continues to cooperate fully with the ongoing investigation.”