Fr Ibrahim Alsabagh says he has no words to describe the suffering he sees on a daily basis, with rockets regularly destroying churches, mosques, schools and hospitals.
The priest also said Orthodox Easter celebrations on Sunday were poorly attended because so many people were either burying their dead or escaping for their lives from Aleppo.
Speaking to the charity Aid to the Church in Need, he said: "So many houses have been partially or entirely destroyed, and so many people killed or severely injured.
"And when the bombs do stop falling, there is an eerie silence, like in a cemetery. The streets are as though everyone has died."
"The nervous breakdowns are increasing, and we now have so many psychological illnesses as a result of the war. There is so much misery.
"Those who remain behind are the poorest of all, the ones who cannot even afford to look for a place of safety."
Around 50,000 Christians still remain in Aleppo.
Fr Alsabagh has also urged believers outside the country to pray for all people in the city during in their time of need.
He said: "Please be assured that every day prayers go up to God from the mouths of children, the poor and the elderly, that He may bless you for your help [towards us].
"Please continue to pray fervently for us, that we remain strong in faith and love. For this crisis is beyond our human strength."
The priest also said that, with help from the Catholic advocacy charity Aid to the Church in Need, the Church in Aleppo has been providing food, clothing, medicine, wash items to people who need them.
Aid to the Church in Need has provided more than £8million in aid to Syria since war began there in 2011.