"Two armed men opened fire on MP Abdel Karim Jadban as he was leaving a Sanaa mosque," said Abdel Karim al-Khaywani from the Ansarullah (Partisans of God) group.
He said Jadban died of his wounds before reaching hospital.
The murder comes as Huthi rebels have fought deadly clashes in the northern town of Dammaj against hardline Sunni Muslim Salafist fighters.
On Wednesday, the editor of a newspaper close to Ansarullah and two passers-by were wounded in a bomb attack, also in the capital.
Yemen is the only Arab Spring country in which a popular protest movement in 2011 led to the negotiated ouster of a long-time president, Ali Abdullah Saleh.
Under a transition plan, an all-party national dialogue aimed to draw up a new constitution by September 18 to clear the way for elections.
But the target date has been held up by several obstacles, especially southern demands for autonomy.
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