Step 1: Sign in to download Project
Go to www.office.com and if you're not already signed in, select Sign in.
Sign in with the account. This account can be a Microsoft account (Mirum E-mail).
Forgot your account details? See I forgot the account I use with Office.
After signing in, follow the steps below for your subscription or non-subscription version of Project.
Project (Standard or Professional)
Non-subscription version

From the Office home page select Install Office.

If you have multiple Office products you may have to scroll through the list of your owned products, or if you have an Microsoft 365 subscription, in the header, select Services and subscriptions which lists all the Microsoft products you own.
Locate the version of Project you want to install and select Install.
Tip: To install Project in a different language, or to install the 64-bit version, select the link Other options. Choose the language and bit version you want, and then select Install.
Project (Standard or Professional)
Non-subscription version
From the Office home page select Install Office.
If you have multiple Office products you may have to scroll through the list of your owned products, or if you have an Microsoft 365 subscription, in the header, select Services and subscriptions which lists all the Microsoft products you own.
Locate the version of Project you want to install and select Install.
Tip: To install Project in a different language, or to install the 64-bit version, select the link Other options. Choose the language and bit version you want, and then select Install.
Step 2: Install Project
Depending on your browser, select Run (in Edge or Internet Explorer), Setup (in Chrome), or Save File (in Firefox).
If you see the User Account Control prompt that says, Do you want to allow this app to make changes to your device? select Yes.
The install begins.
Your install is finished when you see the phrase, "You're all set! Project is installed now" and an animation plays to show you where to find the Project app on your computer.
Follow the instructions in the window to find Project, for example depending on your version of Windows, select Start and then scroll to find Project from your list of apps.
Reference: https://support.microsoft.com/en-us/office/install-project-7059249b-d9fe-4d61-ab96-5c5bf435f281