Fr Iván Añorve Jaimes and Fr Germain Muñiz Garcia were both shot and killed on their way to church in Guerrero State when armed men attacked the vehicle they were travelling in.
They were accompanied by three others, who were also injured in the attack.
CSW's Chief Executive Mervyn Thomas said: "We are deeply saddened to learn of the violent deaths of Father Muñiz Garcia and Father Añorve Jaimes last week.
"They would have been well aware of the risks of their pastoral work given the high number of priests killed in Guerrero, but continued to carry out their ministry even up to the night of their murder.
"Given the high levels of impunity in the state, we were disturbed but not surprised that the state prosecutor chose to give a public statement which essentially amounted to blaming the victims for their own murder."
The Guerrero State Prosecutor implied that one of the murdered priests had links to illegal armed groups.
However, the Mexican Bishops Conference has condemned the prosecutor's statements and insisted the accusation was false.
CSW has joined calls for a retraction of these statements - unless the prosecutor can provide evidence of his claims - and a serious investigation into the attack on the priests.
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