The invention discloses an electrical steel annealing and heating device and an annealing and heating method thereof. The electrical steel annealing and heating device and the annealing and heating method thereof have the advantages that recrystallization of an electrical steel strip (4) at a higher temperature is completed by means of adopting high-temperature plasmas for local heating; meanwhile, the electrical steel annealing and heating device and the annealing and heating method thereof are low in requirement on other components in an annealing furnace (1), so that higher temperature-resistant requirements on the annealing furnace (1) are avoided, higher-temperature annealing can be also completed, and electrical steel lower in iron loss is obtained in the condition of same metallurgical quality of steel; the electrical steel is good in surface quality.