The results of a first search for CP violation in the production and decay of top quark-antiquark ( t t ¯ tt¯ ) pairs are presented. The search is based on asymmetries in T-odd, triple-product correlation observables, where T is the time-reversal operator. The analysis uses a sample of proton-proton collisions at s = 8 s√=8 TeV collected by the CMS experiment, corresponding to an integrated luminosity of 19.7 fb −1 . Events are selected having one electron or muon and at least four jets. The T-odd observables are measured using four-momentum vectors associated with t t ¯ tt¯ production and decay. The measured asymmetries exhibit no evidence for CP-violating effects, consistent with the expectation from the standard model.