Tsipras argued that the "positive" sale would persuade the ECB to induct Greece into its bond-buying programme, a Greek goal for months.
"This goal still lies ahead and yesterday's (bond sale) brings it closer," Tsipras told Alpha TV.
"Now conditions (to request access) are much more favourable," he said.
Yesterday, the Greek treasury sold USD 3.5 billion worth of five-year bonds at a rate of 4.625 per cent.
That is below the 4.95 per cent in Greece's last auction of bonds in 2014, reportedly the target the Greek government had set in the new offer.
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Tsipras today said the new bond had attracted twice the demand required.
He also claimed that the Greek economy had finally turned the corner after seven years of crisis.
"This is the beginning of the end of the ordeal... We are certain that the worst is behind us," he said.
Greece currently has no real need to draw money from the bond markets as it recently received renewed financial support at lower rates under its international bailout that should see it through until next year.
Already, there is talk that the ECB will be winding down the programme.
The ECB has so far refused to include Greece in its bond-buying owing to the explosive nature of its public debt.