The 19-year-old has signed a five-year-deal and is expected to begin training on Friday.
Abada travelled seven hours from London to Glasgow on Tuesday with his agent ahead of completing the move having completed his work permit procedure.
The versatile Abada was hugely impressive last season in the Ligat ha'Al – the Israeli top tier – scoring 12 goals. In total he scored 13 in 38 appearances in all competitions.
The teenager's performances earned him his Israel debut off the bench against Montenegro in June.
He becomes the third signing this summer, joining Liam Shaw and Osaze Urhoghide, as Ange Postecoglou continues his rebuild.