This post shows how to navigate from xilinx.com to Vivado 2019.1 as of Dec 19th, 2020. The links found are also listed.
Note: You need an account to download Vivado. Create one at https://login.xilinx.com/
Step #1: (A) Go to xilinx.com, (B) Click Support, (C) Click Support (again)
Step #2: (A) Scroll down and (B) click Downloads & Licensing
Step #3: (A) Click Vivado (HW Developer), (B) Click Vivado Archive
Step #4: Click 2019.1
Step #5: (A) Scroll down, (B.1) Click Windows installer or (B.2) Linux Installer
Here's the info with all the links:
Vivado Design Suite - HLx Editions - 2019.1 Full Product Installation
Important We strongly recommend to use the web installers as it reduces download time and saves significant disk space. Please see Installer Information for details. Note: Download verification is only supported with Google Chrome and Microsoft Internet Explorer web browsers.
Vivado HLx 2019.1: WebPACK and Editions - Windows Self Extracting Web Installer (EXE - 64.62 MB) MD5 SUM Value : 743003070fb77857ad098bd6873bdf0b
Vivado HLx 2019.1: WebPACK and Editions - Linux Self Extracting Web Installer (BIN - 115.05 MB) MD5 SUM Value : 533000dc5324be422915eb4e93f9ce59 Download Verification Digests Signature Public Key
Vivado HLx 2019.1: All OS installer Single-File Download (TAR/GZIP - 21.39 GB) MD5 SUM Value : 47388a71dc5962a4b8d76e752928616e Download Verification Digests Signature Public Key
Reference
The Xilinx graphic is from [link]