Wrist watches are commonly powered using one or rarely two button/coin cell batteries, and these batteries have limited operating lifetime. When replacing old battery with the new one, the best practice is to use batteries recommended by watch manufacturer.
However, finding exact type and model can be sometimes confusing due to different labels some battery brands are using for their batteries. Also, using silver-oxide instead of alkaline batteries can prolong the watch operating time on a single battery.
Instead of silver-oxide/alkaline coin cell batteries, some watches uses lithium non-rechargeable batteries, and even some of them support the use of rechargeable button/coin lithium cell batteries.