The invention discloses a control method of a gas stove and a gas stove. The control method of the gas stove comprises the following steps: obtaining the detecting temperature of the bottom of a pot body; calculating the temperature varying rate of the bottom of the pot body according to the detecting temperature, wherein the temperature varying rate reflects the variation degree of the detectiontemperature in a period; comparing the temperature varying rate with a first preset temperature varying rate; when the temperature varying rate is smaller than or equal to the first preset temperaturevarying rate, comparing the detecting temperature with first heat conductive temperature; and when the detecting temperature is higher than or equal to the first heat conductive temperature, obtaining first dry-burn temperature corresponding to the detecting temperature. Through the technical scheme, the setting precision of the dry-burn temperature is improved, and dry-burn is effectively prevented.