In the Original Series, the CO (commanding officer) is the captain of the ship, Captain James T. Kirk. However, Spock is of the rank commander, if that's what you were asking.
Star Trek: The Original Series Star Trek: The Animated Series Star Trek: The Next Generation Star Trek: Deep Space Nine Star Trek: Voyager Star Trek: Enterprise Star Trek: Bridge Commander (TV Series)
7 Star Trek The Original Series Star Trek The Animated Series Star Trek The Next Generation Star Trek Deep Space Nine Star Trek Voyager Star Trek Enterprise Star Trek Bridge Commander (TV Series)
No, but my grandfather does.
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Captain James Kirk was (will be?) the commander of the starship USS Enterprise in the TV series Star Trek, and in four of the Star Trek movies. He is played by the actor William Shatner.
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Gene Roddenberry
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The first version of Star Trek.
The TV show in which there is a Vulcan named Spock is Star Trek. But not just any Star Trek! Star Trek: The Original Series (aka, ST-TOS). Spock is also pictured in various Star Trek movies, however, I believe your question was asking about TV shows. ;P. Spock also appeared in episodes of Star Trek: The Next Generation (ST:TNG) as leader of the Romulan reunion movement.
Star Trek: Voyager ran for a total of seven seasons. It aired in 1995 and went off the air in 2001. It is notable because it featured the first female starship commander in the Star Trek franchise.
Question: What famos TV show had Klingons? Answer: Star Trek - The Enterprise