The crew of the aircraft were evacuated to a nearby camp, but the ministry did not give any detail of their condition, other than that they were alive.
The crash is thought to be the latest in a string of incidents involving helicopters reportedly being shot down by pro-Russian rebels, since uprisings began in eastern parts of the country early this year.
Earlier in the day, four Ukrainian soldiers were killed and 30 injured in a gun battle against pro-Russian militants in the eastern city, Ukraine's Interior Ministry reported.
A Ukrainian military helicopter Mi-24 flies near Kramatorsk, eastern Ukraine. Photo / AP
While the statement issued on the Ministry's website did not disclose any further details about how the officers died, a separate statement said the troops had started an "anti-terrorist operation" against around 800 the pro-Russia militants.
A pro-Russia militia spokesman in Slovyansk said an unspecified number of people had been killed and wounded in the clashes, including a 20-year-old woman killed by a stray bullet.
Both sides indicated fighting was taking place at several sites around the city.
Slovyansk has become the centre of pro-Russian protests in the east against the interim government in Kiev, following the ousting of former Moscow-allied President Yanukovych in February of this year.
Meanwhile, in the southern port city of Odessa, the government has deployed an elite national guard unit to re-establish control.
The twin moves reflected an apparent escalation of efforts to bring both regions back under Kiev's control.
It is likely the government is attempting to prevent a situation in which it loses Odessa and eastern parts of the country - which would see it landlocked and cut off entirely from the strategic Black Sea.
Moscow has already annexed a significant part of Ukraine's Black Sea coast in grabbing back the peninsula of Crimea.
On 11 May separatists in the turbulent eastern city of Donetsk are planning to mirror the internationally disputed March referendum held in Crimea, according to a spokesman from the German government.
Germany believes that the referendum planned would violate the constitution of the country and make the situation there even worse, Chancellor Angela Merkel's spokesman said on Monday.
It is feared that if the activists who have occupied regional offices in Donetsk hold a poll on secession, it could complicate the Ukrainian presidential election scheduled for 25 May.
"Such a referendum, against the Ukrainian constitution, does not calm things down but escalates them," Merkel's spokesman Steffen Seibert told a news conference, adding that the people who had called the vote had no democratic legitimacy.
- UK Independent