To lock a range of cells,
Select the particular cell or range of cells that you wish to lock.
Select Data > Lock> Lock Cells. You can also right click on the selected range and click Lock Cells.
The Lock Cells dialog box appears.
Choose the collaborators for whom you want to lock the particular cell/range . Switch the Lock button from its default "Unlock" option.
The Lock icon turns green near the specific collaborator once you lock those cells for him.
If you lock a specific range of cells, that particular range remains locked by default even for newly added collaborators too.
Locking cells and sheets is available only to owners and co-owners of a particular spreadsheet. If you have "Read Only, Read/ Write" or "Read/Comment" permissions, then you cannot use Lock Cells.