"I have been discussing this matter will all the parties concerned -- Ukranian leaders, leaders of the Russian federation, the European Union, and Americans," Ban told AFP in Abu Dhabi.
"I am urging these four parties to solve this problem through peaceful means and I'm ready to provide my own role if necessary."
An agreement to defuse the crisis was reached in Geneva on April 17.
But Russia last week pronounced the accord dead after Kiev stepped up military operations against separatists that Moscow slammed as "war against its own people."
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Ban said he was "deeply concerned" by the violence in Ukraine, and called on all parties to implement the Geneva agreement.
"I'm now strongly urging the parties concerned to meet again and look back (at) what has gone wrong, why this agreement has not been implemented, why the parties are now engaging in violence."
"I am urging again in the strongest terms possible all Ukrainians and partners to address this current issue peacefully before it spins out of control and creates huge consequences beyond anybody's control," Ban said.