Special to The New York Times

Havana, April 23 - The hierarchy of the Roman Catholic Church in Cuba may again attempt to end the current civil strife, persons close to the church said today.

It is doubtful if any open mediation will be attempted, but it is said that the church is moving quietly behind the scenes to seek a solution. Whether either the rebels or President Fulegencio Batista’s regime will be receptive is problematical.

An appeal last month by the church for the formation of a national union government was rebuffed by both sides.

With the fighting continuing, the Government might find it almost impossible to hold the elections set for Nov. 3 with any conviction of impartiality. At the same time, the rebel forces of Fidel Castro appear to have no chance of success in their efforts to overthrow the Batista regime.

According to a reliable source, one plan under study by the church would be the establishment of a semi-parliamentary government. This is provided for in the present Constitution but it has never been put into effect. Under this plan, President Batista would appoint a premier, who would choose among persons not connected with the Government of the Opposition. The cabinet would govern the country, with the President in the background.

The church believes such a government might be able to bring about peace with a political amnesty and a new electoral code. However, many persons feel it would be impossible to find a premier acceptable to both the Government and Opposition.

There is no doubt that the Cuban people would welcome any plan that would end the violence that has brought death to hundreds, destroyed millions of dollars’ worth of property and seriosly affected the nation’s economy.

Meanwhile, the police in Havana last night announced the arrest of five terrorists and the seizure of arms, ammunition and explosive materials.

An army communiqué said today that four rebels had been killed in an encounter with Government troops at Massajudgo near Baracoa, in Oriente Province.