The mystery has not been solved and will probably remain open for the foreseeable future. As the Wikipedia article explains, there is a long list of theories but no decisive evidence to clearly support any one of them.
The official story or "Court" tradition (associated with a Royal Diary or journal) asserted natural causes. Many of Alexander's own contemporaries suspected a plot, but had no direct evidence. This view is linked to what is known as a "Vulgate" or "Romance" tradition. Ancient historians were divided. Modern historians prior to the 1950s were inclined to accept the Court account of natural causes as the correct one, but the question has been reopened in recent decades and both traditions have been deeply re-examined by medical experts.
A 2017 article lists and summarizes twelve of the key ancient sources, seven of them from Alexander's contemporaries and the others from between 50 BCE and the 4th century CE. That article also provides an overview of modern medical perspectives. A 2019 survey of the available evidence summarizes the medical analyses in somewhat more detail:
Proposed natural causes include alcohol poisoning, malaria, typhoid fever, septicemia, and accidental physician error; deliberate murder theories focus on aconite, arsenic, fermented hellebore, and strychnine.
Some of these theories may be more plausible than others. Among the natural causes, malaria or typhoid seems particularly influential. A poison based on a false hellebore (Veratrum) is also a popular theory. But on the fundamental question of whether it was a disease or a murderous plot, there is currently no consensus.