Inthispaperweprovideamethodtotesttheexistenceofthechangepointsinthenonparametricregressionfunctionofpartiallylinearmodelswithconditionalheteroscedasticvariance.Weproposetheteststatisticandestablishitsasymptoticpropertiesundersomeregularconditions.Somesimulationstudiesaregiventoinvestigatetheperformanceoftheproposedmethodinfinitesamples.Finally,theproposedmethodisappliedtoarealdataforillustration.