The Taoiseach says Greece will need to make the next move if it wants any more help from Europe.
In his first comments on yesterday's referendum, Enda Kenny says it's clear that "assistance is required" and that nobody wants to see the Greek people suffering.
Stock markets have fallen over fears Greece could leave the euro.
Markets in Asia and Europe dipped on hearing the news and in London, the FTSE 100 initially fell around 73 points.
Eurozone leaders are due to discuss Greece's rejection of its bailout terms tomorrow – while German Chancellor Angela Merkel and French President Francois Hollande will meet in Paris today.
Enda Kenny says Europe is ready to negotiate with Greece – but he says Athens needs to make the first move.
The Eurogroup of eurozone finance ministers says it expects new proposals from Greece before it meets tomorrow.
Lara Marlowe of the Irish Times is in Paris – she says despite recent differences on the issue, Francois Hollande and Angela Merkel will hope to put on a united front when they meet the press after today's talks:
Meanwhile, after a referendum campaign that saw him accuse Greece's creditors of "terrorism" – the country's outspoken finance minister has resigned.
Yanis Varoufakis said this morning that he was stepping down because he thinks his resignation will help secure a deal on Greece's finances.
