Around a quarter of low-income parents frequently skip meals and one in seven children in these families regularly do not get enough to eat.
In the face of rising food prices, around three-fifths of low-income parents have less than £30 a week to spend on food for their family, compared with a national average of £76.
The charity also says that almost half of the poorest families are short of money every week and nearly 30% have nothing left to cut back on.
One in six children in the most impoverished homes often feel run down or unwell because of poor diet and living conditions. More than a quarter of parents on low incomes are arguing more and over 20% say they are increasingly likely to snap at their children because of money worries.
Save the Children said witnessing the financial worries of their parents could place an impossible burden on children.