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

<!--XBRL Document Created with Wdesk from Workiva-->
<!--Copyright 2020 Workiva-->
<!--r:ccf9a550-a8b0-4109-b5af-bb5ba11da0a6,g:adda9a18-d701-4fac-8bab-3f57dd774353-->
<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.cumberlandpharma.com/role/CoverPage" xlink:type="simple" xlink:href="cpix-20200331.xsd#CoverPage"/>
  <link:calculationLink xlink:role="http://www.cumberlandpharma.com/role/CoverPage" xlink:type="extended"/>
</link:linkbase>
