He said most designated targets of the strikes had been hit, adding that it was not his aim to destroy Ukraine.
Moscow’s goal of mobilising 300,000 men would be met within two weeks, he said.
Mr Putin’s words come as Russian forces seem stalled and Ukraine advances, almost eight months since the invasion.
Speaking to journalists after a summit with regional leaders in Kazakhstan’s capital Astana, the Russian leader said that the recent strikes had destroyed 22 out of the 29 targets in Ukraine set by the military and that “they are getting” the remaining seven.
“There’s no need for massive strikes. We now have other tasks,” he said.
From Monday onwards, Russia unleashed a wave of strikes on cities across Ukraine, in what Mr Putin said was retaliation for a blast which damaged a key bridge between Russia and annexed Crimea.
Dozens of people were killed and injured in the strikes, which also damaged infrastructure. Central areas of Kyiv were targeted for the first time since the invasion.
But Mr Putin said it was not Russia’s intention to destroy Ukraine, but he did not regret the invasion.
“What is happening today is not pleasant, to put things mildly,” he said. “But all the same, [if Russia hadn’t attacked] we would have been in the same situation, only the conditions would have been worse for us. So we’re doing everything correctly and at the right time.”
Addressing relations with other former Soviet countries, Mr Putin insisted that the war had not affected their “character and depth”.
He said it was natural for some countries to be concerned but he was keeping them informed in detail.
But analysts say Russia’s influence in the region is declining, with leaders like Kazakhstan’s Kassym-Jomart Tokayev trying to distance themselves from Mr Putin over the war.
