institute and institution

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Please follow the descriptions.

in‧sti‧tute / ˈɪnstətjuːt, ˈɪnstɪtjuːt $ -tuːt / noun [ countable ]

an organization which has a particular purpose such as scientific or educational work, or the building where this organization is based → academy :

research institutes

institute of/for

the Institute for Space Studies 

in‧sti‧tu‧tion / ˌɪnstəˈtjuːʃ ə n, ˌɪnstɪˈtjuːʃ ə n $ -ˈtuː- / noun

[ countable ] a large organization that has a particular kind of work or purpose financial/educational/research etc institution

the government and other political institutions

powerful institutions such as world banks

the Institution of Electrical Engineers

The related words are: organization; institution; association; party; body; club/society; union; charity; quango

P.S. Please try to ask your questions in a context.