The Israeli soldiers manning a checkpoint along the separation wall opened fire towards dozens of workers who were crossing a fence with the attempt to get to work, local sources said.
The Palestinian Red Crescent Society said its paramedics sent the two injured ones to a hospital in the northern West Bank city of Jenin for treatment.
On Tuesday, five Palestinian workers were wounded at another military checkpoint set up along the separation wall located north of Tulkarem city.
Israel imposed several restrictions on Palestinians who apply for permits to work in Israel, forcing many to seek job opportunities without acquiring permits from Israeli authorities.
Palestinian sources estimate that over 30,000 Palestinians work in Israel without permits, often for lower wages, due to economic difficulties in Palestine.