The remains of the Ark built by Prophet Nuh (Noah) can be found in Mount Judi in south-east Turkey, close to the Syrian and Iraqi borders.
The Quranic account of the Flood and Noah's Ark agrees with that given in the Bible, with a few variations. One of these concerns the final resting place of the Ark. According to Genesis, the Ark is grounded on the "mountains of Ararat"; while according to Surah 11:44 of the Qur'an, the final resting place of the vessel was called Mount Judi:
"Then the word went forth: "O earth! Swallow up thy water, and O sky! Withhold (thy rain)!" and the water abated, and the matter was ended. The Ark rested on Mount Judi, and the word went forth: "Away with those who do wrong!" [11:44]
The picture above is believed to be the current remains of the Ark on the mountain.
(Information obtained from Islamic Landmarks' website)