The aircraft can relay live pictures from high quality cameras and are flown by operators remotely.
They could cost around £1 million, it was reported.
World leaders like US President Barack Obama are expected to attend this summer's economic gathering, and a massive security operation is planned at the luxury Lough Erne golf resort which will host the conference.
The PSNI has told the Policing Board it wants to buy the drones for use during the G8 summit and afterwards to combat terrorism and crime, the BBC said.
The Board has to be briefed in advance about any planned purchase or deployment and that briefing will take place next week.
COMMENT RULES: Comments that are judged to be defamatory, abusive or in bad taste are not acceptable and contributors who consistently fall below certain criteria will be permanently blacklisted. The moderator will not enter into debate with individual contributors and the moderator’s decision is final. It is Belfast Telegraph policy to close comments on court cases, tribunals and active legal investigations. We may also close comments on articles which are being targeted for abuse. Problems with commenting? firstname.lastname@example.org