GAZA, Oct 13 (Reuters) - An Israeli air strike killed one Palestinian militant and critically wounded another riding a motorcycle in the Gaza Strip on Saturday, Palestinian medics and the Israeli military said.

A statement from the Israeli military said the two men targeted were terror operatives of the Hashora Council of the Mujahideen, a Gaza-based Global Jihad affiliate.

No militant group in Gaza claimed the two men as members, but the Hashora Council of the Mujahideen did claim responsibility for a rocket that was fired into Israel on Friday and that landed near a house in the Israeli town of Netivot.

The rocket caused damage but no casualties.

In response, a few hours later, the Israeli military launched three air strikes against what it said were terror activity sites. There were no casualties reported in those attacks.

The Gaza Strip is governed by the Iranian-backed Islamist Hamas group. Israel says it holds Hamas responsible for any attacks launched from Gaza, which has been under the group's control since 2007.

The Islamist group rejects permanent peace with Israel and the two sides fought a three-week war in December-January 2008-2009. The border is tense, with frequent clashes. (Reporting by Nidal al-Mughrabi; Writing by Maayan Lubell; Editing by Diana Abdallah and Jon Hemming)