Mayor Bill de Blasio on Tuesday is set to declare housing as the focal point of his second year in office, unveiling a vision for an even denser yet more affordable New York City that will transform neighborhoods from East Harlem in Manhattan to Staten Island’s North Shore.

The mayor’s mission: to convince New Yorkers that his plan to build more, and build higher, can improve the quality of life for residents across all income levels, even as many have come to associate construction cranes and high-rise buildings with the out-of-reach opulence of the upper class.

In his second State of the City address, Mr. de Blasio plans to invoke the city’s post-World War II building boom, when large housing complexes like Stuyvesant Town offered shelter and security to middle- and working-class New Yorkers.

Officials said the mayor would announce new plans to rezone two more neighborhoods, East Harlem and Stapleton, Staten Island, to allow for taller and larger residential buildings. Mr. de Blasio intends to make affordable apartments a requirement, not an option, in those developments — along with four others across the city — and he will offer new protections for current tenants who fear being forced out by the changes.