Salt Lake County Sheriff's Office

The man accused of obstructing the Charlie Kirk murder probe is in even more hot water ... he's now been charged with possessing child porn.

George Zinn -- who falsely told police he shot Kirk moments after the attack -- was charged with obstruction of justice following the September 10 shooting death of the conservative activist at Utah Valley University in Orem, UT.

Now, Zinn has been charged with 4 counts of sexual exploitation of a minor after FBI agents examined his phone and found images of underage girls dressed only in their underwear, according to court documents filed Tuesday by Utah prosecutors. The docs say Zinn admitted to the feds he gets "sexually aroused" by children.

On September 10, Zinn was arrested and cuffed by police at UVU

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