Employees are entitled to “reasonable” time off to deal with unexpected issues and emergencies involving the dependant including, if a 'dependant' dies. A dependent is classed as their partner, parent, child, or someone else who relied on them.
What is reasonable is not defined in the law and employees do not have the right to paid for such time off.
As from April 2020 parents are also entitled to Parental bereavement leave to deal with the death of a child if they die under the age of 18 or are stillborn.
Eligible parents have a right to 2 weeks':
Statutory Parental Bereavement Leave if you are an employee
You have this right from the day you start your job. The leave can be taken as 2 weeks together, 2 separate weeks of leave or only one week of leave. It can start on or after the date of the death or stillbirth but must finish within 56 weeks of the date of the death or stillbirth.
Statutory Parental Bereavement Pay if you are an employee or worker
If you have worked for your employer for at least 26 weeks, on the Saturday before the child’s death and earn on average at least £120 per week before tax, you are entitled to Statutory Parental Bereavement Pay.
The rate of pay is currently either £151.20 a week or 90% of your average weekly earnings (whichever is lower). Tax and National Insurance will be deducted.
You must give notice to your employer if you wish to take Statutory Parental Bereavement Leave. The notice does not have to be in writing but you must tell them when you want the leave to start, whether you want to take 1 or 2 weeks leave and the date on which your child died.
Your employer may have a more generous bereavement or compassionate leave policy and you should ask them for details of this.