Personal Access Token
secrets.GITHUB_TOKEN is defined by default but it is only sufficient to deploy to the current repository.
To make it work across repositories you'll need to define a new Personal Access Token in:
Select write:packages for the scope and all the repo scopes should be automatically selected for you.

Repository / Organisation secrets
Next, define a secret in your organisation or each of the repositories you need to publish packages from.
Give it a name (i.e. DEPLOY_GITHUB_TOKEN) and set its value to the Personal Access Token created in the previous step.

Repository secrets are defined in repository Settings > Secrets. There's a similar section for the organisation.
GitHub Action
Finally, make sure you pass your Personal Access Token to the deployment step as an environment variable called GITHUB_TOKEN.
In the example below, it's set to the value of the DEPLOY_GITHUB_TOKEN secret defined in the previous step.
name: Build
on:
  release:
    types: [created]
jobs:
  build:
    name: Build & Deploy
    runs-on: ubuntu-latest
    steps:
      - uses: actions/checkout@v2
      - name: Set up JDK 1.8
        uses: actions/setup-java@v1
        with:
          java-version: 1.8
      - name: Build with Maven
        run: mvn --batch-mode --update-snapshots install
      - name: Deploy to GitHub
        run: mvn --batch-mode -DskipTests -DuseGitHubPackages=true deploy
        env:
          GITHUB_TOKEN: ${{ secrets.DEPLOY_GITHUB_TOKEN }}
Since I used a dedicated Maven profile for the GitHub package repository distribution management, I also activated it with -DuseGitHubPackages=true.
Maven profile
In the profile example below, I configured distribution management to use the external/shared repository vlingo/vlingo-platform just like suggested in @Danny Varod's answer.
<!-- pom.xml -->
<project>
  <!-- ... -->
  <profiles>
    <profile>
      <id>github</id>
      <activation>
        <property>
          <name>useGitHubPackages</name>
          <value>true</value>
        </property>
      </activation>
      <distributionManagement>
        <repository>
          <id>github</id>
          <name>GitHub Packages</name>
          <url>https://maven.pkg.github.com/vlingo/vlingo-platform</url>
        </repository>
      </distributionManagement>
    </profile>
  </profiles>
</project>
Cross posted from: https://dev.to/jakub_zalas/how-to-publish-maven-packages-to-a-single-github-repository-3lkc
A working example can be found in vlingo repositories: https://github.com/vlingo/vlingo-platform/packages