The song: Ani Mamshich Lashir

For now, it's a bit of a problem, since a soundtrack has not yet released (even in Israel).
My best advise is to wait for the US release (which I don't know when is planned to be, or if is to be) which will assure that a soundtrack will be released.

The name of the actor who perform it is, as marked here, Shai Avivi.
A version performed by the writer, Nahum (Nahche) Heiman, exists as well.

A version of the song is available on YouTube, here:
http://www.youtube.com/watch?v=bmBWoVMQWs0

This is not the one performed in the film (by Shay Avivi), but one performed by the writer and composer of the song, Nahum Heiman. He is known primarily as a composer, and this is one of the only songs he wrote the lyrics to, and also one of the only songs he ever sang himself.
There's also a live version of Heiman with his daughter Si (a singer herself) here:
http://www.youtube.com/watch?v=dv4CzdLWNRo