Connecticut on Monday became the first state to pass a bill that would require food manufacturers to label products that contain genetically modified ingredients — but only after other conditions are met.

Gov. Dannel P. Malloy has said he would sign the bill into law, after reaching an agreement with the legislature to include a provision that the law would not take effect unless four other states, at least one of which shares a border with Connecticut, passed similar regulations.

The Connecticut bill also hinges on those states including Northeastern states with a total population of at least 20 million.

“This bill strikes an important balance by ensuring the consumers’ right to know what is in their food while shielding our small businesses from liability that could leave them at a competitive disadvantage,” Mr. Malloy said in a statement issued over the weekend after negotiations on the necessary provisions.