aspg-21-509-1791472173 20261008150933 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2020 8 1 Yaser Ahmad Alhasan Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, KSA In this paper, concept of neutrosophic complex numbers and its properties were presented inculding the conjugate of neutrosophic complex number, division of neutrosophic complex numbers, the inverted neutrosophic complex number and the absolute value of a neutrosophic complex number. Theories related to the conjugate of neutrosophic complex numbers are proved, the product of a neutrosophic complex number by its conjugate equals the absolute value of number is also proved. This is an important introduction to define neutrosophic complex numbers in polar. 2020 09 18 509 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.080101 https://www.americaspg.com/journal/21/article/509 https://www.americaspg.com/storage/6054.pdf