The invention discloses an external discharge type continuous hydrate seawater desalination device, and belongs to the technical field of hydrate seawater desalination. The device comprises a high-pressure reaction kettle, a low-temperature seawater spraying system, a high-concentration seawater recycling system, a hydrate dissociation chamber and a gas intake and collection system. A gas hydration agent and seawater are introduced into the high-pressure reaction kettle to generate a hydrate, the hydrate is lifted out of the water surface for low-temperature seawater spraying by a hard filter screen, meanwhile, high-concentration seawater is discharged, seawater is reintroduced for next-step hydrate generation reaction, then a hydrate is discharged to the outer-layer hydrate dissociation chamber, dissociated fresh water is collected, and the gas hydration agent is collected and recycled, so as to implement highly concentrated production by virtue of a hydrate seawater desalination technology. At the same time of low-temperature seawater spraying, the high-concentration seawater is discharged and the seawater is reintroduced into the high-pressure reaction kettle to start a next-step hydrate generation process to implement continuous reaction for hydrate seawater desalination, so that the device is more compact in structure and more complete in function, and the economy is improved.