New York’s top court officials will bar the state’s hundreds of elected judges from hearing cases involving lawyers and others who make significant contributions to their campaigns, a move that will change the political culture of courts and transform judicial elections by removing an important incentive lawyers have for contributing.

Campaign fund-raising of the more than 700 trial-level judges around the state who are elected has been a persistent source of complaints and allegations of corruption, with some judges doling out lucrative assignments to lawyers who were political contributors.

The decision takes the form of a new rule of the state court system and will be announced on Tuesday by Jonathan Lippman, the state’s chief judge. It is believed to be the most restrictive in the country, bluntly tackling an issue  money in judicial politics  that has drawn widespread attention.

The rule is more restrictive than similar measures adopted recently in Washington, Oklahoma, Michigan and other states, and would take the question of disqualification entirely out of judges’ hands. It flatly states that “no case shall be assigned” by court administrators to a judge when the lawyers or any of the participants involved donated $2,500 or more in the preceding two years, court officials said.