They have been married for 17 years and have five children.
"As you can imagine, this is a very difficult time for our family. We are trying to work through some personal matters. We appreciate your thoughts and prayers," the couple said in a statement.
The two began dating in 1991 and married two years later at his home near Nashville, Tennessee.
The country singer was previously married to Cindy Smith, a sales representative. They divorced in 1991.