The general procedure for plant tissue culture involves sterilizing glassware and tools, preparing and sterilizing explant tissue samples, producing callus growth from the explants on nutrient media, proliferating the callus through subculture, and establishing suspension cultures. Key steps include surface sterilizing explants using chemicals like sodium hypochlorite, transferring sterilized explants to growth media, incubating to produce initial callus, subculturing callus periodically to fresh media, and creating suspension cultures by transferring callus to liquid shaking media.