The company hired by the District to install a cable television system has secured the required $45 million in construction financing and will begin work May 22 in Southeast Washington, the city's director of cable television said yesterday.

Also, the City Council's cable television committee approved a resolution stating that the company, District Cablevision Limited Partnership, has met all the conditions of a modified franchise agreement approved by the council last September. The resolution, which will be considered by the full council on April 15, is the last formal step before construction can begin.

Richard Maulsby, director of the D.C. Office of Cable Television, who last summer was highly critical of the company for failing to live up to its original agreement, told the committee that the cable system is now "moving on a forward and steady track."

The system will cost an estimated $156 million to build. The $45 million will pay for the initial stage of contruction, to begin in Ward 8, until subscriber revenue begins to pay for the rest, according to council member Betty Ann Kane (D-At Large), chairwoman of the cable television committee. Cable television should become available to some D.C. homes in September, Kane said.