Objective:To study the characteristics of mathematical cognitive function in children with sleep-disordered breathing(SDB) by event-related potential (ERP).Methods:From October 2020 to October 2022, totally 22 cases of SDB children and 22 cases of normal children aged 8-11 were selected.All subjects performed mathematic tasks including calculating and deciding.The EEG changes and behavioral data of children with SDB and normal children were recorded.The latency and amplitude of N1, P2, N2, P3 in leads Fz were measured and compared by Matlab. SPSS 23.0 software was used for statistical analysis, and t test or Mann Whitney U test were used for two independent sample data. Results:(1)Behavior test: the interaction effect between group and type, the group main effect, and the type main effect in accuracy between SDB group and normal group were not significant ( F=0.470, 3.590, 0.003, all P>0.05). The group main effect and interaction effect between group and type in reaction time between SDB group and normal group were not significant ( F=0.465, 1.991, both P>0.05), while the type main effect was significant ( F=18.010, P<0.05). (2)ERP test: the N2, P3 latencies for addition in children with SDB were longer than those in normal group(N2: (371.38±34.23)ms vs (348.12±26.34)ms; P3: (610.72±64.78)ms vs (529.05±30.25)ms)( t=2.526, 5.358, both P<0.05). There was no significant difference between SDB group and normal group in ERP latency and amplitude for subtraction(both P>0.05). The N2, P3 latencies for multiplication in children with SDB were longer than those in normal group(N2: (439.20±24.28)ms vs (351.14±25.26)ms; P3: (531.71±35.42)ms vs (415.23±19.01)ms)( t=11.792, 13.590, both P<0.05). The P3 amplitudes in children with SDB was higher than that in normal group(P3: (3.16±4.78)μV vs (0.38±3.27)μV)( t=2.248, P<0.05). The P3 latency for correct judgment in children with SDB was longer than that in normal group(P3: (420.38±34.79)ms vs (398.54±33.71)ms)( t=2.115, P<0.05). The P3 latency for wrong judgment in children with SDB was longer than that in normal group(P3: (475.25±51.11)ms vs (414.88±27.53)ms)( t=4.878, P<0.05). Conclusion:The latency of N2 and P3 in ERP of SDB children is prolonged, and P3 latency is more sensitive than N2, indicating that SDB children have impairment of mathematical cognitive function.The latency changes of N2 and P3 occurs earlier than the behavioral changes (reaction time and accuracy), which can be used as one of the electrophysiological indicators for early assessment of mathematical cognitive impairment in SDB children.