The couple, who got married last year in May, believed to have parted ways amid Caussin entering treatment for an undisclosed reason at a rehabilitation center, reported People magazine.
"This has been difficult for Jana but her priority is being there for (7-month-old daughter) Jolie," a source said.
After four months of dating, the two got engaged on the 32-year-old "One Tree Hill" star's birthday in 2014.
They have a daughter, Jolie Rae, who was born in January this year.
Kramer is currently on tour promoting her latest album, "Thirty One.