In the case of vim it is possible to set it as follows.
set whichwrap+=<,>,[,]
How can I set it for Spacemacs(vim editing style)?
It is not a Spacemacs-specific "issue", it comes from the included evil-mode Emacs package.
Short answer:
(setq evil-cross-lines t)
... before evil-mode is loaded.
In .spacemacs, this can be under dotspacemacs/user-init
Long answer:
Pressing Ctrl-h k followed by l or h shows you what commands are bound to these keys, and (in recent emacs versions), the keymap in which they are defined. The commands (or rather, motions) are evil-forward-char and evil-backward-char, respectively. Looking at their definition, in evil-commands.el, it can be seen that their movement is restricted to the current line - or not - based on the value of the variable evil-cross-lines, which is by default nil. And the docstring of this variable confirms it: "Whether motions may cross newlines".