Three months ago, the pair faced off against each other in the final of Wimbledon, and on Sunday they teamed up to secure a comfortable victory for Czechia.
The result is Czechia's 12th title in the competition, but their first since 2018, making them the second-most successful nation in Billie Jean King Cup history behind the USA.
Muchova, ranked eighth in the world, got them off to a strong start with a 6-2, 6-3 win over 47th-ranked Anhelina Kalinina.
Sixth-ranked Nuskova then beat Elina Svitolina, ranked just one place below her, in less emphatic but still convincing fashion, 6-3, 7-6 to secure the title without the need for a deciding doubles match.
Czechia captain Barbora Strycova becomes just the fourth woman to win the event as a player and a coach.
The country's run saw them beat Great Britain in the quarter-finals and Spain in the semi-final to set up their final success against Ukraine.