The communications union, representing clerks and carmen, who maintain the cars, wants a contract based on a settlement it achieved some months ago with the Illinois Central Railroad Company.
The C.W.A. represents 50,000 health care workers, clerks and other public employees.
Mr. McIver said the railroad's wage offer was "basically the same" as the one accepted by five of the line's unions, representing conductors, clerks, ticket agents, yard masters and supervisors.
In the wake of yesterday's shooting, the Transport Workers Union, which represents token clerks, renewed calls for increased safety for subway employees.
That feeling was reinforced when the union representing clerks and ticket agents fell into line, bringing about 40 percent of the 6,600 workers at the L.I.R.R. under contract.
For the people who touch the mail are mainly protected by two powerful unions, the American Postal Workers Union, representing clerks, and the National Association of Letter Carriers.
Five of the line's unions, representing conductors, clerks, ticket sellers, yard masters and supervisors, accepted a new contract.
The United Food and Commercial Workers Union Local 1500 represents 7,500 Pathmark cashiers and clerks.
The second club from Bucharest, founded in April 1909, represented the workers and clerks of the Colentina Cotton Factory, English society.
The unions, accounting for 40 percent of the line's more than 6,600 organized workers, represent conductors, trainmen, clerks, ticket agents, yardmasters and supervisors.