Members of Israeli security services inspect a crater near a road outside Israel's Ben Gurion airport after a missile launched from Yemen struck the area . AFP
The Houthi-run Saba news agency said the "American aggression" included two strikes targeting Arbaeen street in the capital as well as one on the airport road.
The groups' health ministry said 14 people were wounded in the Sawan neighbourhood, according to Saba.
US strikes on the Houthis began under former president Joe Biden, but have intensified under his successor Donald Trump.
The Houthis, who control swathes of Yemen, have launched missiles and drones targeting Israel and Israeli-linked Red Sea shipping throughout the Gaza war, in solidarity with Palestinians.
The missile fired from Yemen by the Houthis landed near the main terminal of Tel Aviv's Ben Gurion Airport on Sunday, wounding six people.
The Israeli army confirmed that the attack, which gouged a large crater in the perimeter of the airport, had struck despite "several attempts... to intercept the missile".
In a video published on Telegram, Israeli Prime Minister Benjamin Netanyahu said Israel had in the past "acted against" the Yemeni group and "will act in the future".
"It will not happen in one bang, but there will be many bangs," he added, without elaborating.
Later on X, Netanyahu said Israel would also respond to Iran at "a time and place of our choosing".
Several international airlines suspended flights to Israel following the attack, and hours later the Houthis promised more such strikes and warned airlines to cancel their flights to Israeli airports.
A police video showed officers standing on the edge of a deep hole in the ground with a control tower visible behind them. No damage was reported to airport infrastructure.
Short link: