The phrase "kept eyes open" refers to being vigilant, alert or watchful. The opposite or antonyms for this phrase would be words or phrases that describe being careless, inattentive or negligent. Some possible antonyms for "kept eyes open" include: let one's guard down, turned a blind eye, disregarded, took no notice, closed eyes, oblivious, unmindful or heedless. In certain contexts, there may be positive or negative connotations associated with the antonyms for "kept eyes open." For instance, turning a blind eye may imply someone intentionally ignoring something, while being oblivious may refer to someone who is simply unaware or uninformed.