The Brewers signed Richardson to a minor-league contract Thursday, Jim Goulart of BrewerFanatic.com reports.
Richardson elected free agency last week after being booted off the Reds' 40-man roster. The 26-year-old holds a career 6.67 ERA and 46:39 K:BB over 56.2 innings covering parts of four seasons at the major-league level. Richardson will report to the Brewers' Arizona Complex League affiliate for now but should move up to Triple-A Nashville soon.