Deploy 'Profile Permission set' with Workbench

Step 1: Create a Package.xml Manifest

A package.xml manifest file tells Workbench which metadata components to retrieve. The following sample package.xml file retrieves profile permissions for the Account object, a specific Permission Set, and a named Profile. Replace PermissionSetName, ProfileName, and the API version (xx.0) with your actual values before using this file:          

<Package xmlns="http://soap.sforce.com/2006/04/metadata">
    <types>
     <members>Account</members>
     <name>CustomObject</name>
    </types> 
     <members>PermissionSetName</members>
     <name>PermissionSet</name>
    </types>     
    <types>
     <members>ProfileName</members>
     <name>Profile</name>
    </types>
    <version>xx.0</version>
</Package>

To include multiple objects, add additional member elements under the CustomObject type as shown below:

<types>
     <members>Account</members>
     <members>Case</members>
     <name>CustomObject</name>
</types> 

Note: The above package.xml is a sample only. The Salesforce package.xml Builder can help automate this process, but it is a publicly available tool and is not a Salesforce-approved tool.
To retrieve an existing package.xml manifest for all components in your org using Workbench: log in to your source org, select Environment (Prod/SBX), click Login to Salesforce with OAuth, and select All Components.

Step 2: Retrieve Metadata from the Source OrgRetrieve the metadata using Workbench:

1. Log in to your source org from which you want to retrieve metadata.
2. In a browser, go to https://workbench.developerforce.com/login.php.
3. Select the latest API version and click Login with Salesforce.
4. Navigate to Migration | Retrieve.
5. Click Choose File and navigate to the package.xml file you created in Step 1.
6. Select the Single Package checkbox.
7. Click Next.
8. Click Retrieve.
9. After retrieval is complete, click the Download ZIP File link to save the metadata ZIP file.

Step 3: Deploy Metadata to the Target Org

1. Log in to your target org where you want to deploy metadata.
2. Use the 'Workbench' tool by entering the following URL in the browser: https://workbench.developerforce.com/login.php
3. Navigate to Migration | Deploy.
4. Select Choose File and find the ZIP file you just downloaded.
5. Select the Allow Missing Files, Check Only and Single Package checkboxes. Note: 'Check Only' will do a Validation to see, if there are any Errors. If you see any errors, please fix them accordingly.
6. Click Next.
7. Click Deploy.
8. If there are no errors in the Validation, then follow the steps from [3] to [5] again and this time DO NOT select Check Only check box. 
9. Click Next.
10. Click Deploy.
11. When the deployment is finished, you can expand any of the nodes to find and resolve any errors and check your target org to ensure that the deployment was successful.