Doctors said the newborn babies are "doing well." Their 32-year-old mother, Natalya Shaposhnikova, will remain in hospital until she is well enough to return home.
The biggest baby, a boy, weighs 2.5 kgs (5.5 lbs), while the smallest is another boy weighing 1.1 kgs (2.4 lbs) boy, almost three times less than the average newborn, the hospital said.
The quadruplets were born in Vladivostok after Kamchatka doctors refused to be involved in such a complicated delivery, as even twins are considered a risk for both the mother and newborn babies.
The father, Vasily, confessed that he was "very glad" and joked he was feeling a little "uncertain."
In November last year, another Russian woman, also from Kamchatka, delivered three boys and a girl, for the first time in the region's history.
Quadruplets are really rare, and the chance of a woman delivering four bundles of joy is approximately 1:512,000. Unfortunately, most quadruplets are usually born prematurely, and the survival rate is quite low.
Multiple births have become more frequent, as more women take fertility drugs, which increase the risk of multiple pregnancies.
In early November last year, a 29-year-old Russian music teacher gave birth to five girls 14 weeks premature at a maternity clinic in Oxford, southern England.
