Guterres was speaking at the Doha Forum conference as Washington vetoed a proposed UNSC demand for an immediate humanitarian ceasefire in the war.
Qatari prime minister said they will continue to pressure Israel and Hamas for a truce despite "narrowing" chances.
The issue is highly pressurized because the existing deal is set to expire Thursday morning with the resumption of the war.
As part of that deal, Israel would agree to a five-day ceasefire, during which time the hostages would be released in small groups.
Qatar has a long record of harboring and funding terrorist organizations. It's time the US holds them accountable.
Netanyahu spoke amid growing pressure from the international to press Israel to accept a mechanism for a series of humanitarian pauses.
Earlier, the armed wing of Hamas said it had been close to reaching an agreement with Israel over the hostages, but Israel had "stalled" on that possibility.
Some voices are being raised to reassess Western ties with Qatar.
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