Israel and Palestinian militants in Gaza, run by Islamist movement Hamas, have fought three wars since 2008 and the territory has been under an Israeli blockade for more than 10 years.
An Israeli army spokesman, quoted by the channel, said the fishermen had crossed the designated fishing zone.
A Palestinian from the Gaza Strip died on Sunday after the Israeli navy fired on the boat he and two others were sailing in, a military spokeswoman said.
The soldiers allegedly called on the vessel to stop and fired warning shots before targeting the boat directly, the statement notes.
The Gazan fishermen's union is striking on Monday and Tuesday, in protest over the deadly Israeli policing of Gaza's waters, which resulted in the killing of a teenage fisherman on Sunday.
The Israeli navy has killed a Palestinian, firing on the boat he and two others were sailing in, Reuters reported. Fishermen called an immediate two-day strike. Israel restricts fishing to a seasonally adjusted zone of between six and nine nautical miles.
In an emailed press statement, the Hamas official noted that the Israeli naval forces' attack on the fishermen and their boat was an very bad Israeli crime against innocent Palestinian fishermen. Boats that exceed this limit are often treated as potential arms-smuggling vessels by the Israeli forces and may come under fire.
The Gaza Strip's border with Egypt has also been largely closed in recent years.
It held intensive meetings with officials and individual meetings with every minister in the Palestinian Government of National Accord to discuss the problems existing in each ministry and to eliminate the obstacles hindering their work.