The attack targeted a training ground used by Hamas's armed wing, the Ezzedine al-Qassam Brigades, which lies just east of Gaza City, they said.
The dead man was named by medics as Mahmud al-Hiqi, 27, and the other two, who were moderately injured in the strike, were also identified as Hamas militants.
The Israeli army had no immediate comment on the strike which hit an area where three Palestinians had been injured by Israeli tank fire earlier Thursday.
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Besieged Palestinian Gaza is an experiment in provocation. Stuff one and a half million people into a tiny space, stifle their access to water, electricity, food and medical treatment, destroy their livelihoods, and humiliate them regularly...and, surprise, surprise - they turn hostile. Now why would you want to make that experiment? Because the hostility you provoke is the whole point. Now under attack you can cast yourself as the victim, and call out the helicopter gunships and the F16 attack fighters and the heavy tanks and the guided missiles, and destroy yet more of the pathetic remains of infrastructure that the Palestinian state still has left. And then you can point to it as a hopeless case, unfit to govern itself, a terrorist state, a state with which you couldn't possibly reach an accommodation. And then you can carry on with business as usual, quietly stealing their homeland.