[8] On 7 November, he injured his ankle in Alba's 106–101 victory against Tofaş in the EuroCup and was expected to miss 6 weeks.

[9] He returned from injury on 27 December, scoring a game high 19 points in only 20 minutes,[10] in Alba's 108–96 victory against Giessen 46ers.

[15][16] On 17 February, he had 6 points and 6 assists in Alba's narrow 82–83 loss against Brose Bamberg in the German Basketball Cup Finals.

[18] In December 2019, Martin was named the Icelandic Men's Basketball Player of the Year for the fourth straight season.

[21] On 17 February 2020, he led all scorers with 20 points in Alba's 89–67 victory against EWE Baskets Oldenburg in the German Basketball Cup finals.

[29] On 10 August 2019, Martin scored the game winning basket with 0.7 seconds left in Iceland's 83–82 victory against Switzerland in the EuroBasket 2021 qualification.