In the list of 12 Jewish tribes, which corresponds to Joseph? Out of the 12 tribe names, nothing is similar to the name Joseph.
Joseph's sons were Ephraim and Manasseh,
These became, in a sense, Jacob's sons:
Moreover, the tribe of Levi had no inheritance in Israel:
Thus, when listing the tribes of Israel according to their inheritance, the tribe of Levi is not mentioned, and Ephraim and Manasseh replace Joseph - thus maintaining the original number of tribes (12).
This is just by way of postscript and supplement to a (good!) answer already provided.
The lists of tribes given in the Hebrew Bible/Old Testament typically are as @Niobius describes: Joseph's sons, Ephraim and Manasseh, replace both Joseph and Levi, most obviously in the tribal settlements during the "conquests" of Joshua/Judges. This is also how they appear in the tribal allotments in Ezekiel's vision of a future renewed Israel (Ezekiel 48:1-7 + 23-27, for the seven tribes north of the holy city, followed by the five tribes to the south). The principle is even spelled out at Ezekiel 47:13 (ESV):
This is according to the system of inheritance, summarized in 48:29 -
However, the holy city - renewed Jerusalem - is laid out in a square (Ezek 48:16), with three gates on each of the four sides = twelve gates in all. These, in distinction from the land allocation, correspond to the twelve tribes as sons rather than "units of inheritance", reverting to Joseph and Levi (Ezek 48:30-34):
So clearly both "tribal" configurations were known and remembered (compare 48:29 and 48:31!), even though the "Ephraim/Manasseh" system emphatically predominates.