Lyth, named last week in England???s Test party to tour West Indies in April, scored 113 from 190 balls in the traditional curtain-raiser at Sheikh Zayed Stadium before he was trapped lbw by Kent spinner Adam Riley after lunch.
The left-hander???s ton ??? his 15th in first-class cricket ??? helped the reigning County Champions??edge closer to MCC’s??221 all out, though there was disappointment for Lyth???s fellow England man Jonny Bairstow, who was dismissed for a six-ball duck by seamer Chris Rushworth.
Night watchman Steven Patterson (36) was the other man to fall in the morning session, which Yorkshire began on 88-2, cleaned up by??Riley after an obdurate 84-ball innings.
England captain Alastair Cook, who is likely to be partnered at the top of the order in the West Indies by either the uncapped Lyth or the recalled Jonathan Trott, could only muster three runs for the MCC on Sunday before he was dismissed lbw by Ryan Sidebottom.
Somerset???s James Hildreth (89) and Worcestershire skipper Daryl Mitchell (54) top scored for the MCC, while England man Adil Rashid as well as Jack Brooks, Will Rhodes and Sidebottom collected two wickets apiece for Yorkshire.