<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with Wdesk from Workiva-->
<!--Copyright 2020 Workiva-->
<!--r:f7344139-685e-4ad1-8d3e-069e8e7aabde,g:0cb051e1-c92a-4cf4-ae4f-aed7d7a4c893-->
<link:linkbase xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:roleRef roleURI="http://www.hain.com/role/Cover" xlink:type="simple" xlink:href="hain-20201124.xsd#Cover"/>
  <link:calculationLink xlink:role="http://www.hain.com/role/Cover" xlink:type="extended"/>
</link:linkbase>