diff --git a/components/engine/daemon/daemon_unix.go b/components/engine/daemon/daemon_unix.go
index b6e60ff77c..e2e6f7a5c1 100644
--- a/components/engine/daemon/daemon_unix.go
+++ b/components/engine/daemon/daemon_unix.go
@@ -393,11 +393,17 @@ func verifyContainerResources(resources *containertypes.Resources, sysInfo *sysi
 		logrus.Warnf("Your kernel does not support CPU cfs period. Period discarded.")
 		resources.CPUPeriod = 0
 	}
+	if resources.CPUPeriod > 0 && (resources.CPUPeriod < 1000 || resources.CPUQuota > 1000000) {
+		return warnings, fmt.Errorf("CPU cfs period can not be less than 1ms (i.e. 1000) or larger than 1s (i.e. 1000000)")
+	}
 	if resources.CPUQuota > 0 && !sysInfo.CPUCfsQuota {
 		warnings = append(warnings, "Your kernel does not support CPU cfs quota. Quota discarded.")
 		logrus.Warnf("Your kernel does not support CPU cfs quota. Quota discarded.")
 		resources.CPUQuota = 0
 	}
+	if resources.CPUQuota > 0 && resources.CPUQuota < 1000 {
+		return warnings, fmt.Errorf("CPU cfs quota can not be less than 1ms (i.e. 1000)")
+	}
 
 	// cpuset subsystem checks and adjustments
 	if (resources.CpusetCpus != "" || resources.CpusetMems != "") && !sysInfo.Cpuset {