It said cameraman Ali Shaaban was on the Lebanese side of the frontier, in the northern Lebanese region of Wadi Khaled, when soldiers opened fire on a car carrying the Al-Jadeed crew.
Shaaban's colleague Hussein Khreiss said the shooting occurred even though the crew had explained to the soldiers what they were doing.
"We told our Syrian brothers ... that we are not military ... but they opened fire heavily on the car," the channel's website quoted him as saying.
Last month Lebanese residents said Syrian soldiers crossed into Lebanon's Bekaa valley in pursuit of Syrian rebels, and there have been several reports of cross-border shooting or shelling which have wounded people inside Lebanon.
(Writing by Dominic Evans; Editing by Alison Williams)
Reuters