Yes, in the strong winds a feather flag kit can be toppled over. To avoid inconvenience, make sure that you have mounted the flag firmly. Check if the ground spikes are inserted deep enough. Deep grounding will keep your flag from falling over even in the winds. You can use cross-bases to add extra weight for secure support. The alternate is the use of either weight-donuts or sandbags. The extra weight is typically added depending on the weather/wind condition.