DENVER — Jurors who weighed a Denver radio host’s protestations of innocence against Taylor Swift’s powerful testimony determined Monday that he had groped her during a preconcert photo session in 2013.

The six-woman, two-man jury found that the actions of the host, David Mueller, amounted to assault and battery of the star.

Mr. Mueller initiated the litigation with a 2015 suit that portrayed Ms. Swift’s accusation as false and said it had led radio station KYGO to fire him. Ms. Swift then countersued with the assault and battery accusation. The cases were heard together in a federal court trial that opened here on Aug. 7.

Jurors awarded Ms. Swift the $1 in compensation she had demanded. Her lawyer Douglas Baldridge had said she did not want to bankrupt Mr. Mueller, but saw the award as symbolically “immeasurable to all women,” proving that they could report an assault without fear of facing a lawsuit from the attacker.