The Surah in which Allah is mentioned in every verse is Surah Al-Mujadila.
Surah Al-Mujadila (The Pleading Woman) is the 58th Surah of the Quran. All of its verses contain the name of Allah (God). This unique characteristic sets it apart from other Surahs of the Quran. This emphasizes the Surah's central theme of Allah's awareness and knowledge of all things.
Therefore, to reiterate, the answer is Surah Al-Mujadila.