You may have noticed your new born grabbing your fingers. This is a natural reflex, but as your baby grows they will develop a more intentional grasp. Around 3-4 months she will try to pick up her favourite toy. If she is able to hold it for a few moments she will try to bring it to her mouth.
5 play essentials to develop baby’s grasp (3-6 months)
Small lightweight rattles
A rattle can be used while the baby is on the tummy or on their back. Place the rattle near the baby, within their reach, and watch them grab it. This helps them develop their fine motor skills. As they shake it the sound it makes supports auditory development. The level 2 Montessori Box has the perfect wooden rattle for this activity.
Wooden ring
Use toys that are easy for little hands to grasp, while strengthening the hold hand grip. They can also double up as teethers. Since the bells make a sound when baby moves the ring it also teaches about cause and effect. The bell chime mobile in the level 2 Montessori box works well here. 
Bell on ribbon
Tie a lightweight jingle bell at the end of a ribbon and hang it above your baby during a diaper change or on the playgym. Unlike the above two activities, which use the whole hand, here the baby will start to use his/her little fingers to manipulate the bell
Sensory bags
Hold a Ziplock bag filled with water and some small objects like glitter or small toys. Place the bag near the child's hand, but not touching him. Besides developing a grasp this will also encourage your child to move a little, stretch and reach.
Geometric Rattle
This toy has thin rods and strings so they can grasp it with their palmer grasp. It’s thin rods and elastic are designed to promote clutching by tiny hands. This strengthens hand muscles.