At least six people have died after the incident, and, according to regional Minister of Civil Protection and Emergency Situations Sergey Shtrikov, 25 people were injured in the crash, Russian news agency TASS reported. Six people are missing.
RIA news agency said the plane was a Sukhoi Su-34, a supersonic medium-range fighter-bomber, and crashed during a training flight from a military airfield.
TASS said the crash was caused by an engine fire.
Interfax quoted the local emergencies ministry as saying five floors of the apartment building were on fire, the upper floors had collapsed and about 45 apartments were damaged.
Yeysk is located on the coast of the Sea of Azov which separates southern Ukraine and southern Russia.
