Behavioral syndromes are widespread and can have important ecological consequences. Studying the structure of syndromes is important to understand potential constraints on animal’s behavioral response to the environment modification. Importantly, we know relatively little about antipredator behavioral syndromes and, especially, how the structure is associated with anthropogenic environmental disturbances. Here, we estimated the correlation between two antipredator behaviors in yellow-bellied marmots (Marmota flaviventer): flight initiation distance (FID), which quantifies the fearfulness to a potential predator and habituation to humans, and time allocation to vigilance while foraging, which represents an individual’s baseline level of wariness. We also examined the correlation between these traits under two different human disturbance levels by fitting a bivariate model on data collected over 18 years from 739 individuals. We found a modest correlation between FID and vigilance at the individual level in adults, but no correlations in the much larger yearling cohort, and no overall correlation when datasets were combined. We found no support for the hypothesis that human disturbance changed the structure of the syndrome. Our study suggests that antipredator syndromes may be age-specific, and marmots could be able to modulate their response to humans and other threats flexibly in anthropogenically disturbed environments.