The　mechanical　behaviors　of　carbon　nanocone　(CNCs)　with　equivalent　number　of　atoms　under　uniaxial　extension　and　uniaxial　compress　are　investigated　using　classical　molecular　dynamics　simulations,　exploring　the　Brenner　and　Lennard-Jones　potentials　to　represent　the　interatomic　interaction.　The　mechanical　properties　including　elastic　strain　limit,　ultimate　longitudinal　loading,　and　configuration　evolution　of　CNC,　are　obtained　and　compared　with　those　of　carbon　nanotube　that　consists　of　equivalent　atoms.　Under　tension,　CNC　with　larger　apex　angle　presents　a　higher　failure　strength　in　general,　as　well　as　a　larger　maximum　strain.　However,　the　failure　strength　of　the　CNC　with　largest　conical　angle　of　112.88　degrees　is　the　smallest　one.　The　carbon　nanotube　with　(15,　0)　and　4　nm　length　presents　a　moderate　strength　and　strain.　Under　compression,　CNCs　with　conical　angle　of　112.88　degrees　and　83.62　degrees　have　true　chiral　inversion　without　the　chemical　bond　break.　However,　the　other　CNC　exhibits　unstable　uniaxial　compress　and　sudden　lateral　bend　under　compression.　The　force　that　buckles　these　carbon　nanostructures　decreases　as　the　conical　angle　increases,　except　for　the　CNC　of　38.94　degrees.　Results　in　the　present　study　show　that　a　certain　CNC　possesses　more　excellent　mechanical　properties　than　the　equivalent　CNT　and　is　expected　to　substitute　CNT　and　to　be　applied　to　some　engineering　fields　such　as　nanosensors　and　nanoscale　composites.