It’s easier than you think!
The Maltese Islands only have one airport, the Malta International Airport (MLA). This is located in Luqa, which is about 16 minutes away by car from the capital, Valletta; and not more than 20 minutes away from Sliema and St Julian’s.
Malta also has its own airway company, called Air Malta, yet various other airlines travel regularly to and from the island, including British Airways, Ryan Air, Turkish Airlines, Emirates and many more.
Alternatively, you could also come by ferry from various ports across the Mediterranean, including Pozzallo in Sicily.
Since Malta is an island getting here by rail or car can be rather difficult, although it can, in theory, be done by driving down to Sicily and getting the ferry to Malta.