The clinical and pathophysiological correlates of locus coeruleus (LC) degeneration in Alzheimer's disease (AD) could be clarified using a method to index LC integrity in vivo, neuromelanin-sensitive MRI (NM-MRI). We examined whether integrity of the LC-norepinephrine system, assessed with NM-MRI, is associated with stage of AD and with neuropsychiatric symptoms (NPS), independent of cortical pathophysiology (amyloid-β and tau burden). Cognitively normal older adults (n = 118), and individuals with mild cognitive impairment (MCI, n = 44), and AD (n = 28) underwent MR imaging and tau and amyloid-β positron emission tomography (with FMK6240 and FAZD4694, respectively). Integrity of the LC-norepinephrine system was assessed based on contrast-to-noise ratio of the LC on NM-MRI images. Braak stage of AD was derived from regional binding of FMK6240. NPS were assessed with the Mild Behavioral Impairment Checklist (MBI-C). LC signal contrast was decreased in tau-positive participants (t  = -4.00, p = 0.0001) and negatively correlated to Braak stage (Spearman ρ = -0.31, p = 0.00006). In tau-positive participants (n = 51), higher LC signal predicted NPS severity (ρ = 0.35, p = 0.019) independently of tau burden, amyloid-β burden, and cortical gray matter volume. This relationship appeared to be driven by the impulse dyscontrol domain of NPS, which was highly correlated to LC signal (ρ = 0.44, p = 0.0027). NM-MRI reveals loss of LC integrity that correlates to severity of AD. However, LC preservation in AD may also have negative consequences by conferring risk for impulse control symptoms. NM-MRI shows promise as a practical biomarker that could have utility in predicting the risk of NPS or guiding their treatment in AD.