The mission called SpaDeX
blasted off from Sriharikota launch pad in southern India on 30 December. The two spacecraft, launched on a single rocket, separated in space. The docking process, initially scheduled for 7 January, was rescheduled a number of times.
On Thursday morning, the space agency announced that it had created history by becoming only the fourth country in the world with such technology after United States, Russia and China.
On Thursday morning, scientists began by gradually reducing the speed of the two spacecraft - bringing them ever closer until they were just 3 metres apart. Then their connectors were latched together.
In the next step, the two spacecraft were screwed on perfectly, creating an airtight passage for safe transfer of material or crew, completing space docking.
An Isro official told the BBC that over the next two-three days, the mission will carry out what is being billed as one of its most important experiments - it will transfer electrical power from the Chaser to Target.
