In the south-eastern port city of Mariupol, 13 polling stations were not open.
One man in Donetsk said he visits his parents in Mariupol almost every weekend.
I voted today because after what happened in Odessa and Mariupol, unity of Ukraine is impossible and it is better to secede.
Larger than Mariupol, it boasts an opera house and theater but most stores downtown are closed and few people walk the streets.
A guardsman told him to get on the bus, and the frontline express drove on again to Mariupol.
But the resistance at Mariupol is proving to be the exception when it comes to the Ukrainian military.
Katya Milevski, 18, lives in Donetsk and was taking the trip to Mariupol to give her mother a small dog she carried.
Back at the Mariupol checkpoint, a Ukrainian National Guardsmen gave a man with an "old" passport a hard time.
The strategic coastal city of Mariupol is bracing for attack as pro-Russian rebels move south and say the capital isn't safe.
Cereals are exported in large quantities via the Dnieper, the Sevastopol railway, and the port of Mariupol.