A ventilation control apparatus, and a breathing mask device provided with the ventilation control apparatus. The ventilation control apparatus comprises: a cavity (210, 310, 410, 510, 610, 710), provided with air delivery ports (212A, 212B, 312A, 312B, 412, 512, 612, 712); a valve assembly (220, 230, 320, 420, 520, 620, 720), arranged at the air delivery ports (212A, 212B, 312A, 312B, 412, 512, 612, 712), the valve assembly (220, 230, 320, 420, 520, 620, 720) being configured to keep the pressure within the cavity (210, 310, 410, 510, 610, 710) greater than the atmospheric pressure during exhalation; a heat and moisture exchanger (240, 440, 540), a mask ventilation port (241, 411, 511) in communication with the air delivery ports (212A, 212B, 312A, 312B, 412, 512, 612, 712) being arranged on the heat and moisture exchanger (240, 440, 540) or the cavity (210, 310, 410, 510, 610, 710), the mask ventilation port (241, 411, 511) being used for ventilation with a breathing mask, the heat and moisture exchanger (240, 440, 540) being in communication with the air delivery ports (212A, 212B, 312A, 312B, 412, 512, 612, 712), so that both exhalation and inhalation occur via the heat and moisture exchanger (240, 440, 540). The ventilation control apparatus implements an exhalation phase positive pressure function, and prevents patient discomfort caused by continuous positive pressure. A positive pressure air supply apparatus and a pipeline etc. need not be connected during use, thereby facilitating patient movement, and the positive pressure air supply apparatus need not be carried when going out. In addition, the ventilation control apparatus is small in size, convenient to carry, and low in cost.