The most common material used to connect an airbrush hose is called a quick-connect. This will allow you to quickly and easily attach the two, but it also means that they'll be able to come apart unexpectedly if someone trips on them--so make sure you're in a safe place when doing this! There are other kinds of connectors as well: NPT (National Pipe Thread) for use with gauges or valves; Banjo Fitting for connecting hoses directly into the compressor without any intermediate fittings; And Straight Connectors, which can sometimes be larger than others depending on their size. If none of these work out, then there's always the possibility of getting custom adapters made by your local welding shop.