Spokeswoman for the Vilnius police said police investigators are working at the scene.
TV3 said the actor's death was a tremendous loss for the country.
“It is a gigantic loss for all of Lithuania. It is still hard to comprehend that the person is no longer with us,” TV3 director general Laura Blaževičiūtė said in a press release.
Sources say the actor was found in his home in Vilnius. There are suspicions that Šapranauskas might have committed suicide.
Šapranauskas was well known for his roles on stage and cinema, as well as for hosting a number of prime-time TV shows.
Šapranauskas was divorced and had two children.