Despite the tragedy, which has been blamed on pro-Russian separatists, fighting raged on in the region, with the sound of rocket and artillery fire continuing even after the jet was shot down, Dmitry said.
At least 192 bodies of the 298 victims of Malaysia Airlines Flight MH17 have been found at the crash site, which stretches over 21 square miles around the towns of Shakhtersk, Snezhnoye, Grabovo and Torez near the Russian border. Pro-Russian separatists initially refused to let the remains be moved, but later acquiesced.
Read MoreMH17 crisis a wake-up call to Europe over sanctions
Monitors from the Organisation for Security and Cooperation in Europe were granted some limited access to the crash site Saturday, a day after the organization complained "visibly intoxicated" gunmen blocked their way to the crash site. For the first time Saturday, two days after the crash, rescue workers were seen removing some bodies and putting them in bags.
"The horrible thing was, bodies falling from the sky onto people's houses and backyards," Dmitry said. "And the bodies stayed there until today — only tonight there was some attempt to remove them from people's backyards. Only today."
Read MoreWhy was Malaysia Airlines MH17 flying over Ukraine?
Officials have not determined who shot down the plane, but U.S. and other officials are certain the jet was struck by a surface-to-air missile. On Saturday, Ukraine accused Russia and pro-Moscow rebels on Saturday of destroying evidence to cover up their guilt in the shooting down of the Malaysian airliner.
There have also been reports that credit cards have been looted from the crash site. The Dutch Banking Association said Saturday that banks have taken "preventative measures" against possible fraud, and promised that any next of kin would be reimbursed for any thefts. Of the 298 passengers and crew aboard the plane, 193 were Dutch.