A notification prompt method performed by a server, comprising: when a notification for a target user is received, determining a target terminal that meets a preset notification prompt condition from terminal devices on which an account of the target user is logged in; obtaining identity information of a user currently using the target terminal; and controlling, if it is detected, based on the identity information, that only the target user is currently using the target terminal, the target terminal to prompt the notification in a first prompt mode, wherein preview content of the notification is displayed in the first prompt mode; or controlling, if it is detected, based on the identity information, that a plurality of users are currently using the target terminal, the target terminal to prompt the notification in a second prompt mode, wherein preview content of the notification is not displayed in the second prompt mode; characterized in that the controlling, if it is detected, based on the identity information, that a plurality of users are currently using the target terminal, the target terminal to prompt the notification in a second prompt mode comprises: if it is detected, based on the identity information, that the plurality of users currently using the target terminal comprise the target user, and it is detected that the target terminal comprises only a public terminal, determining an urgency attribute of the notification, wherein the public is a terminal device on which at least one account has logged in and that is usually used by a plurality of associated users; and determining a prompt occasion of the notification based on the urgency attribute of the notification, and when it is detected that the notification relates to privacy of the target user, controlling the public terminal to prompt the notification in the second prompt mode when the prompt occasion arrives. when a notification for a target user is received, determining a target terminal that meets a preset notification prompt condition from terminal devices on which an account of the target user is logged in; obtaining identity information of a user currently using the target terminal; and controlling, if it is detected, based on the identity information, that only the target user is currently using the target terminal, the target terminal to prompt the notification in a first prompt mode, wherein preview content of the notification is displayed in the first prompt mode; or controlling, if it is detected, based on the identity information, that a plurality of users are currently using the target terminal, the target terminal to prompt the notification in a second prompt mode, wherein preview content of the notification is not displayed in the second prompt mode; characterized in that the controlling, if it is detected, based on the identity information, that a plurality of users are currently using the target terminal, the target terminal to prompt the notification in a second prompt mode comprises: if it is detected, based on the identity information, that the plurality of users currently using the target terminal comprise the target user, and it is detected that the target terminal comprises only a public terminal, determining an urgency attribute of the notification, wherein the public is a terminal device on which at least one account has logged in and that is usually used by a plurality of associated users; and determining a prompt occasion of the notification based on the urgency attribute of the notification, and when it is detected that the notification relates to privacy of the target user, controlling the public terminal to prompt the notification in the second prompt mode when the prompt occasion arrives. if it is detected, based on the identity information, that the plurality of users currently using the target terminal comprise the target user, and it is detected that the target terminal comprises only a public terminal, determining an urgency attribute of the notification, wherein the public is a terminal device on which at least one account has logged in and that is usually used by a plurality of associated users; and determining a prompt occasion of the notification based on the urgency attribute of the notification, and when it is detected that the notification relates to privacy of the target user, controlling the public terminal to prompt the notification in the second prompt mode when the prompt occasion arrives.