"We should establish a strategic relationship with Qatar, the most important LNG center in the world," Yildiz said during the signature ceremony.
Yildiz also said that two countries would set up energy working groups that would take up all energy issues in detail.
Also, al-Atiyah underlined importance of diversified energy supply, and said it was a right step for Turkey to meet its energy need from different countries.
After the signature ceremony, Yildiz told reporters that Qatar should take its place in 100 billion USD energy investments Turkey would make in the following 15 years.
Yildiz will visit First Turkish Export Products Fair later on Tuesday.
Turkey and Qatar agreed to establish a joint committee to seek opportunities on energy cooperation during Qatari Amir Hamad bin Khalifa al-Thani's visit to Turkey in August.