"Salame condemns in the strongest terms this clear pattern of ruthless attacks against health workers and facilities" as targeting medical workers and facilities is considered a "war crime," the statement added.
Since early April, the government has been engaged in a deadly armed conflict against the army, which is trying to take over the capital Tripoli and overthrow the government.
The fighting so far has killed more than 1,000 people, injured more than 5,700 others, and forced over 120,000 to flee their homes, according to the World Health Organization.
The army is allied with the east-based government, as the North African nation is politically divided between eastern and western governments.
Libya has been struggling to make a democratic transition amid insecurity and chaos ever since the fall of former leader Muammar Gaddafi's regime in 2011.