Without directly blaming Israel for his killing, Houthis said that the conflict with Israel had not ended.
Israel will "receive its deterrent punishment for the crimes it has committed".
The Houthi announcement offered no specifics on when or how he was killed.
In August, Israel targeted the Houthi group's chief of staff, defence minister and other senior figures in airstrikes on Sanaa in Yemen in which the prime minister of Yemen's Houthi-run government and several other ministers were killed.
Israel had said then that the air strike had targeted al-Ghamari, defence minister and other senior officials and that it was verifying the outcome.
Ghamari was a member of the Houthis' "Jihad Office," led by Abdul Malik al-Houthi, which is responsible for overseeing military operations.
Israeli Defence Minister Israel Katz said on Thursday on X that Ghamari was attacked in an Israeli strike.
"We will do the same against any threat in the future as well," he added.
The Houthis had fired missiles towards Israel in what they said were acts of solidarity with the Palestinians in the Gaza Strip, most of which have been intercepted.
Israel has responded with strikes on Houthi-controlled areas of Yemen.
The Houthis' leader, Abdul Malik al-Houthi, said last week that the group will monitor Israel's compliance with the Gaza Strip ceasefire agreement, and will resume support for the enclave if Israel fails to comply.
Al-Ghamari had been sanctioned by the United Nations over his role in the country's decade-long war.
The UN in sanctioning al-Ghamari described him as playing "the leading role in orchestrating the Houthis' military efforts that are directly threatening the peace, security and stability of Yemen, as well as cross-border attacks against Saudi Arabia".
with AP
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