"I believe in dialogue with Russia ... And therefore, if the context is right, I am, of course, also ready to meet with President Putin", he said in an interview released on Monday.
Stoltenberg stressed the importance of discussing differences, especially when relations are strained.
"Russia is our biggest neighbour, Russia is here to stay and we need to strive for a better relationship with Russia", the NATO chief said.
The statement comes after the Kremlin has expressed concern over NATO's continuing expansion closer to the Russian border, and agreed with the General Staff's statement about NATO's preparations for a large-scale military conflict.
The relations between the North Atlantic Treaty Organization and Moscow soured dramatically after the 2014 power change in Ukraine followed by Crimea's reunification with Russia and prolonged military conflict in Donbass.