MEXICO CITY—The level of common crime in Mexico was stable last year compared with 2013, while the number of kidnappings fell sharply, a government survey published Wednesday showed.

The National Statistics Institute, or Inegi, said 22.8 million people were victims of at least one crime in 2014, compared with 22.5 million the previous year, according to the nationwide survey conducted in March and April of this year at close to 96,000 homes.

The...