2 ASX dividend shares to buy in May 2021 Tristan Harrison | May 3, 2021 7:25am | More on: Image source: Getty Images The two ASX dividend shares in this article provide solid income every year, including through the difficult COVID-19 times of 2020. Not every business was able to maintain or grow the dividend during 2020. Indeed, plenty of businesses cut the dividend – Commonwealth Bank of Australia (ASX: CBA) and Transurban Group (ASX: TCL) are just two examples. These two ASX dividend shares may be able to offer reliable income in these uncertain times: Brickworks has one of the most enviable dividend records on the ASX. Shareholders haven’t seen a dividend cut in over 40 years.