It comes after the date the Seatbelts on School Transport (Scotland) Bill will come into force was announced as August.
The Bill was brought forward by Aberdeenshire East MSP Gillian Martin.
The legislation will come into effect on August 1 which should mean every child will have access to a seatbelt when travelling to and from school for the start of the 2018/19 term.
Mr Stevenson had long been a supporter of constituent Ron Beaty who called for better school transport safety.
For years, the Gardenstown resident worked hard to campaign on school bus safety after his granddaughter was knocked over by a vehicle after getting off a school bus.
Mr Beaty, who sadly passed away before the Bill came into force, had been a staunch advocate of safety on school transport following the incident.
He worked closely alongside Mr Stevenson on the issue for many years.
Commenting, Stewart Stevenson MSP said:
“I am delighted the Bill to ensure seatbelts are on all dedicated home to school transport will come into force from August.
“I would like to pay tribute to Ron. While he wasn’t here to witness it, I have no doubt that his efforts for many years made an invaluable contribution.
“Ron is an example to us all and I am sure his family are very proud.
“I would also like to commend my colleague Gillian Martin MSP and the civil servants who worked very hard over the past 18 months and beyond on this Bill.”
“I would like to pay tribute to Ron. While he wasn’t here to witness it, I have no doubt that his efforts for many years made an invaluable contribution.
“Ron is an example to us all and I am sure his family are very proud.
“I would also like to commend my colleague Gillian Martin MSP and the civil servants who worked very hard over the past 18 months and beyond on this Bill.”
Transport Minister Humza Yousaf said:
“The Scottish Government is committed to achieving safer road travel which is why we’re urging pupils to wear a seatbelt where one is provided on school transport.
“When the Seat Belts Act for dedicated school transport in Scotland comes into force, it will make sure every child and young person who requires a seatbelt will have one as they travel to and from school.”
“When the Seat Belts Act for dedicated school transport in Scotland comes into force, it will make sure every child and young person who requires a seatbelt will have one as they travel to and from school.”