PORT-AU-PRINCE, HAITI, JULY 3 -- A coalition of business, church and political leaders said today that the chairman of Haiti's governing council should reorganize the council or resign. The fourth day of an antigovernment general strike left seven more people dead and a total of 22 killed in the protest.

Jean-Claude Bajeux, a leader of the committee of 57 political, peasant, student and labor groups that organized this week's strike, said the three-man governing council, with two military officers, is unacceptably dominated by the armed forces. He said the committee would accept a reorganized council with two civilians and one military member.

Bajeux told reporters that protests would continue until the council's chairman, Lt. Gen. Henri Namphy, and member Gen. Williams Regala step down.

{The U.S. State Department warned travelers that strikes in Haiti have caused a shutdown of most public transportation. It urged American citizens arriving in Haiti to "exercise due caution" and to register with the U.S. Embassy in Port-au-Prince.}

"Everyone is losing their heads," Francois Wolff Ligonde, Roman Catholic archbishop of Port-au-Prince, said at a hospital where the bodies of four gunshot victims were taken today. Bodies of three other victims were found in a slum on the capital's outskirts, a radio station reported.

Stores in Port-au-Prince were shut and most residents remained indoors, but soldiers fired into the air to disperse looters outside a hardware store. Two youths were dragged from the store, beaten with rifle butts and clubs and then taken away. The soldiers fired toward journalists who saw the action.

Haiti's three-member governing council was created after dictator Jean-Claude Duvalier fled the country during violent street demonstrations in February 1986.

Last night, the council sought to restore peace by revoking a decree, issued June 23, that had taken control over elections away from an independent commission. The decree had provoked the latest protest.

Bajeux, the protest committee leader, said the civilian on the governing council, former Supreme Court president Luc Hector, is acceptable to the protest leaders. He did not say who the other civilian on a reorganized council should be, but suggested that the military representative should be Col. Jean Thomas, now serving in Haiti's embassy in Argentina.

In an interview, the Rev. Serge Miot, secretary of the Haitian Catholic Bishops Conference, said, "People won't stop protesting until there is an agreement between the {National Governing Council} and the 57 organizations. A dialogue . . . is necessary to defuse the crisis."