Abstract: A waste-disposing sea-going vessel includes a vessel body that carries solid waste-holding containers to a site at sea far away from land. The vessel body further has an incinerator to incinerate the solid wastes of the containers, a scrubbing chamber to scrub the smoke produced by the incinerator via sea-water, and a neutralization chamber to spray an alkaline solution onto the products produced by the scrubbing chamber, thereby removing hazardous particles before the incinerated wastes are discharged into the sea. A smoke-conveying pipe is further provided to connect a chimney of the incinerator to the scrubbing chamber, and a catalyst converter is provided in the smoke conveying pipe to remove some hazardous smoke particles by filtration and chemical conversion before the post-treatments conducted by the scrubbing chamber and the neutralization chamber.