The invention discloses a gas stove anti-dry-burning control method and device and a gas stove. The gas stove anti-dry-burning control method comprises the steps of sequentially acquiring the temperature of a pot body on the gas stove according to preset time intervals, namely delta t, and recording the temperature as TN, wherein N is a positive integer greater than zero; when TN is greater than T0, judging that the pot body reaches the dry-burning state, and controlling gas of the gas stove to stop burning; when TN is less than T', judging that the pot body does not reach the dry-burning state, and maintaining the state o the gas stove; when TN is greater than T' and less than or equal to T0, calculating a first order derivative, namely dTN/dt, and a second order derivative, namely d<2>TN/dt<2>, of the temperature TN, and judging whether dTN/dt and d<2>TN/dt<2> meet the requirements that dTN/dt is greater than delta1 and d<2>TN/dt<2> is greater than delta2 at the same time or not, wherein delta1 is greater than or equal to 0, and delta2 is greater than or equal to 0; if the requirements are met, judging that the pot body reaches the dry-burning state, and controlling the gas of the gas stove to stop burning; and if the requirements are not met, judging that the pot body does not reach the dry-burning state, and maintaining the state of the gas stove. By means of the gas stove anti-dry-burning control method, dry burning can be effectively avoided or stopped.