Mr Razel was also shown on Israeli television playing his keyboard and singing at the International Conference Centre on Sunday. The tape was reportedly across his eyes for one song.
In a statement, the singer’s representatives said his face was uncovered “for the entire performance”.
The statement added: “The part in which he is seen with his eyes covered happened for mere minutes, when women formed dance circles at the foot of the stage.
“This was his personal decision so as not to remain with uncovered eyes in front of the dancing women. Afterwards, he removed the covering and continued to perform.”
But on Facebook, Galia Wolloch, president of the Na’amat group, wrote: “How far will this ostensibly religious extremism go? And who are the religious authorities who encourage this bizarre behaviour?”