London, Tokyo and other metropolises have created central business districts with forests of skyscrapers in recent years, seeking to meet the needs of globe-trotting corporate tenants.

But New York’s premier district, the 70-block area around Grand Central Terminal, has lagged, Bloomberg officials say, hampered by zoning rules, decades old, that have limited the height of buildings.

Mayor Michael R. Bloomberg wants to overhaul these rules so that buildings in Midtown Manhattan can soar as high as those elsewhere. New towers could eventually cast shadows over landmarks across the area, including St. Patrick’s Cathedral and the Waldorf-Astoria Hotel. They could rise above the 59-story MetLife Building and even the 77-story Chrysler Building.

Mr. Bloomberg’s proposal reflects his effort to put his stamp on the city well after his tenure ends in December 2013. Moving swiftly, he wants the City Council to adopt the new zoning, for what is being called Midtown East, by October 2013, with the first permits for new buildings granted four years later.