Ebola has now killed more than 1-thousand people - with a number of cases in Nigeria.
Archbishop Alfred Adewale Martins said precautions had to be taken to contain the disease which is sweeping across parts of West Africa.
Yesterday a priest who was working in Liberia died after being flown home to Madrid for treatment.
Fr Miguel Pajares was the first person treated for Ebola in Europe.
Archbishop Alfred, from the Lagos Diocese, said: "Taking into consideration the fact that this rite is optional, we shall henceforth omit it, i.e., not invite people to offer the sign of peace."
He's also suggested people collecting offertory money should wear gloves and priests should avoid touching tongues when giving Holy Communion.
Holy water fonts have also been suspended.