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Longman Dictionary of Contemporary English
weight training
noun
EXAMPLES FROM CORPUS
▪ A preference for long walks and tennis over jogging or weight training.
▪ Gavin keeps himself fit by doing weight training three times a week.
▪ Gradually I put on body weight, a lot of it muscle bulk, and took to daily weight training.
▪ I pulled heavy tyres along the sprint straight, and I began weight training.
▪ The pool is also used for running training, to help build up stamina and he does his weight training there as well.
▪ The weights used should be increased once 3 sets of 10 repetitions have been achieved soas to make the weight training progressive.
▪ They joined in Medau Classes and various sports; they tried trampolining, pistol shooting and weight training.
▪ With regard to weight training, no research has focused its effects on pregnant women.
Wiktionary
weight training

n. (context weightlifting English) A form of physical exercise using weights to increase the strength and size of muscles by using exercises specific for each muscle group.

Wikipedia
Weight training

Weight training is a common type of strength training for developing the strength and size of skeletal muscles. It utilizes the force of gravity in the form of weighted bars, dumbbells or weight stacks in order to oppose the force generated by muscle through concentric or eccentric contraction. Weight training uses a variety of specialized equipment to target specific muscle groups and types of movement.

Sports where strength training is central are bodybuilding, weightlifting, powerlifting, and strongman, Highland games, shotput, discus throw, and javelin throw. Many other sports use strength training as part of their training regimen, notably; mixed martial arts, American football, wrestling, rugby football, track and field, rowing, lacrosse, basketball, baseball and hockey. Strength training for other sports and physical activities is becoming increasingly popular.