The two forms of democracy are
national and state
republican and democrat
local and national
direct and representative

Direct and representative are the two form of Democracy.  

Explanation:

Democracy can be defined as the form of government in which the all the eligible citizens can choose their representative through the voting system and also they have a right to say in government's functioning.

Direct democracy:-  In direct democracy all citizens vote on all important policy decisions.  It is called direct because in principle it has no representative or arbitrator.

Representative democracy:-  In representative democracy, the public directly elects government officials. Representatives are elected from a district or parliamentary constituency or represent all voters in several proportional arrangements.

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