Mehmet Aksoy was born in 1939 in Yayladağ in the Hatay Province, Turkey. In 1967, he graduated from the Istanbul Academy of Fine Arts (now Mimar Sinan University), under the supervision of sculptor Şadi Çalık, after which he received a scholarship to study sculpture in London. Throughout most of the 1980s, he worked as an independent artist in Berlin. Mehmet Aksoy was also a founding member and the president of the Berlin Association of Turkish Academician Artists.

Many of Mehmet Aksoy's sculptures are displayed in public spaces, including a memorial to World War II deserters in Bonn and the sculpture Separation erected in front of the Istanbul Bebek Turkish Merchant Bank. Mehmet Aksoy participated in the 2nd International Istanbul Biennial with his project Stories of Şahmeran. One of his recent sculptures, İnsanlık Anıtı (Monument to Humanity), pays tribute to Armenian-Turkish friendship in Kars.

Mehmet Aksoy is the recipient of numerous awards, including the Grand Prize of the Asian European Biennial, the Sedat Simavi Visual Arts Award, and the Ankara Arts Association's Artist of the Year Prize.