"It is necessary to finalise everything that has been achieved in terms of genuine security guarantees and to prepare a meeting of the heads of state," Zelenskiy said in a video message.
Such a summit could help resolve "key issues," he added. "When it comes to Russia, such a personalised regime, then even more so than in other countries."
Zelenskiy's comments came after talks between a Ukrainian and a US delegation were held in Switzerland to prepare for a new trilateral meeting with Russia.
Zelenskiy said he spoke several times with Ukrainian negotiators Rustem Umerov and David Arakhamia, as well as US special envoys Steve Witkoff and Jared Kushner.
The Ukrainian president also said again that Moscow is not ready to make peace.
Russian President Vladimir Putin is not stopping his "war machine," he said.
"On the contrary, he is preparing to continue fighting, and the world must be ready to put pressure on Russia to change this."
He said the solution was sanctions on Russian energy exports and banks.
Ukraine has been seeking to repel a full-scale Russian invasion launched in February 2022, aided by Western supporters.
That has included financial aid, with the International Monetary Fund on Thursday approving an $8.1 billion, four-year loan for Ukraine, of which $1.5 billion would be disbursed immediately.
The IMF said the new Extended Fund Facility arrangement for Ukraine formed part of a $136.5 billion international support package for the war-torn country, which this week marked the fourth anniversary of Russian's invasion.
Meanwhile, Russia's Defence Ministry said on Thursday its air defence units had downed 220 Ukrainian drones over a nine-hour period, including 24 headed for Moscow.
The latest ministry statement said 53 drones were intercepted and destroyed in a three-hour period.
Many of the drones were intercepted over regions in central Russia. The ministry said 12 had targeted the Russian capital.
Moscow Mayor Sergei Sobyanin, writing on Telegram, said 27 drones had been downed while heading for the city.
